Results of Confluent Hypergeometric Functions I

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DLMF Formula Constraints Maple Mathematica Symbolic
Maple 		Symbolic
Mathematica 		Numeric
Maple 		Numeric
Mathematica
13.2.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z\deriv[2]{w}{z}+(b-z)\deriv{w}{z}-aw = 0}
z\deriv[2]{w}{z}+(b-z)\deriv{w}{z}-aw = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
z*diff(w, [z$(2)])+(b - z)*diff(w, z)- a*w = 0

z*D[w, {z, 2}]+(b - z)*D[w, z]- a*w == 0
Failure Failure
Failed [300 / 300]
Result: 1.299038106+.7500000000*I
Test Values: {a = -3/2, b = -3/2, w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}


Result: 1.299038106+.7500000000*I
Test Values: {a = -3/2, b = -3/2, w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}

... skip entries to safe data
Failed [300 / 300]
Result: Complex[1.299038105676658, 0.7499999999999999]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}


Result: Complex[1.299038105676658, 0.7499999999999999]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.2.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperM@{a}{b}{z} = \sum_{s=0}^{\infty}\frac{\Pochhammersym{a}{s}}{\Pochhammersym{b}{s}s!}z^{s}}
\KummerconfhyperM@{a}{b}{z} = \sum_{s=0}^{\infty}\frac{\Pochhammersym{a}{s}}{\Pochhammersym{b}{s}s!}z^{s}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerM(a, b, z) = sum((pochhammer(a, s))/(pochhammer(b, s)*factorial(s))*(z)^(s), s = 0..infinity)

Hypergeometric1F1[a, b, z] == Sum[Divide[Pochhammer[a, s],Pochhammer[b, s]*(s)!]*(z)^(s), {s, 0, Infinity}, GenerateConditions->None]
Successful Successful - Successful [Tested: 252]
13.2.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \OlverconfhyperM@{a}{b}{z} = \sum_{s=0}^{\infty}\frac{\Pochhammersym{a}{s}}{\EulerGamma@{b+s}s!}z^{s}}
\OlverconfhyperM@{a}{b}{z} = \sum_{s=0}^{\infty}\frac{\Pochhammersym{a}{s}}{\EulerGamma@{b+s}s!}z^{s}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(b+s)} > 0} 
KummerM(a, b, z)/GAMMA(b) = sum((pochhammer(a, s))/(GAMMA(b + s)*factorial(s))*(z)^(s), s = 0..infinity)

Hypergeometric1F1Regularized[a, b, z] == Sum[Divide[Pochhammer[a, s],Gamma[b + s]*(s)!]*(z)^(s), {s, 0, Infinity}, GenerateConditions->None]
Successful Successful -
Failed [35 / 252]
Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}


Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.2.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperM@{a}{b}{z} = \EulerGamma@{b}\OlverconfhyperM@{a}{b}{z}}
\KummerconfhyperM@{a}{b}{z} = \EulerGamma@{b}\OlverconfhyperM@{a}{b}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{b} > 0, \realpart@@{(b+s)} > 0} 
KummerM(a, b, z) = GAMMA(b)*KummerM(a, b, z)/GAMMA(b)

Hypergeometric1F1[a, b, z] == Gamma[b]*Hypergeometric1F1Regularized[a, b, z]
Successful Successful - Successful [Tested: 126]
13.2.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lim_{b\to-n}\frac{\KummerconfhyperM@{a}{b}{z}}{\EulerGamma@{b}} = \OlverconfhyperM@{a}{-n}{z}}
\lim_{b\to-n}\frac{\KummerconfhyperM@{a}{b}{z}}{\EulerGamma@{b}} = \OlverconfhyperM@{a}{-n}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{b} > 0, \realpart@@{((-n)+s)} > 0} 
limit((KummerM(a, b, z))/(GAMMA(b)), b = - n) = KummerM(a, - n, z)/GAMMA(- n)

Limit[Divide[Hypergeometric1F1[a, b, z],Gamma[b]], b -> - n, GenerateConditions->None] == Hypergeometric1F1Regularized[a, - n, z]
Failure Successful Successful [Tested: 0]
Failed [112 / 126]
Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[n, 1], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}


Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[n, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
13.2.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \OlverconfhyperM@{a}{-n}{z} = \frac{\Pochhammersym{a}{n+1}}{(n+1)!}z^{n+1}\KummerconfhyperM@{a+n+1}{n+2}{z}}
\OlverconfhyperM@{a}{-n}{z} = \frac{\Pochhammersym{a}{n+1}}{(n+1)!}z^{n+1}\KummerconfhyperM@{a+n+1}{n+2}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{b} > 0, \realpart@@{((-n)+s)} > 0} 
KummerM(a, - n, z)/GAMMA(- n) = (pochhammer(a, n + 1))/(factorial(n + 1))*(z)^(n + 1)* KummerM(a + n + 1, n + 2, z)

Hypergeometric1F1Regularized[a, - n, z] == Divide[Pochhammer[a, n + 1],(n + 1)!]*(z)^(n + 1)* Hypergeometric1F1[a + n + 1, n + 2, z]
Failure Failure Error Successful [Tested: 126]
13.2.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{-m}{b}{z} = (-1)^{m}\Pochhammersym{b}{m}\KummerconfhyperM@{-m}{b}{z}}
\KummerconfhyperU@{-m}{b}{z} = (-1)^{m}\Pochhammersym{b}{m}\KummerconfhyperM@{-m}{b}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU(- m, b, z) = (- 1)^(m)* pochhammer(b, m)*KummerM(- m, b, z)

HypergeometricU[- m, b, z] == (- 1)^(m)* Pochhammer[b, m]*Hypergeometric1F1[- m, b, z]
Failure Failure Error
Failed [7 / 126]
Result: Indeterminate
Test Values: {Rule[b, -2], Rule[m, 3], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}


Result: Indeterminate
Test Values: {Rule[b, -2], Rule[m, 3], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.2.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (-1)^{m}\Pochhammersym{b}{m}\KummerconfhyperM@{-m}{b}{z} = (-1)^{m}\sum_{s=0}^{m}\binom{m}{s}\Pochhammersym{b+s}{m-s}(-z)^{s}}
(-1)^{m}\Pochhammersym{b}{m}\KummerconfhyperM@{-m}{b}{z} = (-1)^{m}\sum_{s=0}^{m}\binom{m}{s}\Pochhammersym{b+s}{m-s}(-z)^{s}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(- 1)^(m)* pochhammer(b, m)*KummerM(- m, b, z) = (- 1)^(m)* sum(binomial(m,s)*pochhammer(b + s, m - s)*(- z)^(s), s = 0..m)

(- 1)^(m)* Pochhammer[b, m]*Hypergeometric1F1[- m, b, z] == (- 1)^(m)* Sum[Binomial[m,s]*Pochhammer[b + s, m - s]*(- z)^(s), {s, 0, m}, GenerateConditions->None]
Successful Successful Skip - symbolical successful subtest
Failed [21 / 126]
Result: Indeterminate
Test Values: {Rule[b, -2], Rule[m, 1], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}


Result: Indeterminate
Test Values: {Rule[b, -2], Rule[m, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
13.2.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{a+n+1}{z} = \frac{(-1)^{n}\Pochhammersym{1-a-n}{n}}{z^{a+n}}\KummerconfhyperM@{-n}{1-a-n}{z}}
\KummerconfhyperU@{a}{a+n+1}{z} = \frac{(-1)^{n}\Pochhammersym{1-a-n}{n}}{z^{a+n}}\KummerconfhyperM@{-n}{1-a-n}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU(a, a + n + 1, z) = ((- 1)^(n)* pochhammer(1 - a - n, n))/((z)^(a + n))*KummerM(- n, 1 - a - n, z)

HypergeometricU[a, a + n + 1, z] == Divide[(- 1)^(n)* Pochhammer[1 - a - n, n],(z)^(a + n)]*Hypergeometric1F1[- n, 1 - a - n, z]
Failure Failure Error
Failed [7 / 126]
Result: Indeterminate
Test Values: {Rule[a, -2], Rule[n, 3], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}


Result: Indeterminate
Test Values: {Rule[a, -2], Rule[n, 3], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.2.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{(-1)^{n}\Pochhammersym{1-a-n}{n}}{z^{a+n}}\KummerconfhyperM@{-n}{1-a-n}{z} = z^{-a}\sum_{s=0}^{n}\binom{n}{s}\Pochhammersym{a}{s}z^{-s}}
\frac{(-1)^{n}\Pochhammersym{1-a-n}{n}}{z^{a+n}}\KummerconfhyperM@{-n}{1-a-n}{z} = z^{-a}\sum_{s=0}^{n}\binom{n}{s}\Pochhammersym{a}{s}z^{-s}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
((- 1)^(n)* pochhammer(1 - a - n, n))/((z)^(a + n))*KummerM(- n, 1 - a - n, z) = (z)^(- a)* sum(binomial(n,s)*pochhammer(a, s)*(z)^(- s), s = 0..n)

Divide[(- 1)^(n)* Pochhammer[1 - a - n, n],(z)^(a + n)]*Hypergeometric1F1[- n, 1 - a - n, z] == (z)^(- a)* Sum[Binomial[n,s]*Pochhammer[a, s]*(z)^(- s), {s, 0, n}, GenerateConditions->None]
Failure Failure Error
Failed [7 / 126]
Result: Indeterminate
Test Values: {Rule[a, -2], Rule[n, 3], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}


Result: Indeterminate
Test Values: {Rule[a, -2], Rule[n, 3], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.2.E9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{n+1}{z} = \frac{(-1)^{n+1}}{n!\EulerGamma@{a-n}}\sum_{k=0}^{\infty}\frac{\Pochhammersym{a}{k}}{\Pochhammersym{n+1}{k}k!}z^{k}\left(\ln@@{z}+\digamma@{a+k}-\digamma@{1+k}-\digamma@{n+k+1}\right)+\frac{1}{\EulerGamma@{a}}\sum_{k=1}^{n}\frac{(k-1)!\Pochhammersym{1-a+k}{n-k}}{(n-k)!}z^{-k}}
\KummerconfhyperU@{a}{n+1}{z} = \frac{(-1)^{n+1}}{n!\EulerGamma@{a-n}}\sum_{k=0}^{\infty}\frac{\Pochhammersym{a}{k}}{\Pochhammersym{n+1}{k}k!}z^{k}\left(\ln@@{z}+\digamma@{a+k}-\digamma@{1+k}-\digamma@{n+k+1}\right)+\frac{1}{\EulerGamma@{a}}\sum_{k=1}^{n}\frac{(k-1)!\Pochhammersym{1-a+k}{n-k}}{(n-k)!}z^{-k}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(a-n)} > 0, \realpart@@{a} > 0} 
KummerU(a, n + 1, z) = ((- 1)^(n + 1))/(factorial(n)*GAMMA(a - n))*sum((pochhammer(a, k))/(pochhammer(n + 1, k)*factorial(k))*(z)^(k)*(ln(z)+ Psi(a + k)- Psi(1 + k)- Psi(n + k + 1)), k = 0..infinity)+(1)/(GAMMA(a))*sum((factorial(k - 1)*pochhammer(1 - a + k, n - k))/(factorial(n - k))*(z)^(- k), k = 1..n)

HypergeometricU[a, n + 1, z] == Divide[(- 1)^(n + 1),(n)!*Gamma[a - n]]*Sum[Divide[Pochhammer[a, k],Pochhammer[n + 1, k]*(k)!]*(z)^(k)*(Log[z]+ PolyGamma[a + k]- PolyGamma[1 + k]- PolyGamma[n + k + 1]), {k, 0, Infinity}, GenerateConditions->None]+Divide[1,Gamma[a]]*Sum[Divide[(k - 1)!*Pochhammer[1 - a + k, n - k],(n - k)!]*(z)^(- k), {k, 1, n}, GenerateConditions->None]
Aborted Aborted
Failed [7 / 14]
Result: Float(undefined)+Float(undefined)*I
Test Values: {a = 2, z = 1/2*3^(1/2)+1/2*I, n = 1}


Result: Float(undefined)+Float(undefined)*I
Test Values: {a = 2, z = -1/2+1/2*I*3^(1/2), n = 1}

... skip entries to safe data
 Skipped - Because timed out
13.2.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{-m}{n+1}{z} = (-1)^{m}\Pochhammersym{n+1}{m}\KummerconfhyperM@{-m}{n+1}{z}}
\KummerconfhyperU@{-m}{n+1}{z} = (-1)^{m}\Pochhammersym{n+1}{m}\KummerconfhyperM@{-m}{n+1}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU(- m, n + 1, z) = (- 1)^(m)* pochhammer(n + 1, m)*KummerM(- m, n + 1, z)

HypergeometricU[- m, n + 1, z] == (- 1)^(m)* Pochhammer[n + 1, m]*Hypergeometric1F1[- m, n + 1, z]
Failure Failure Successful [Tested: 63] Successful [Tested: 63]
13.2.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (-1)^{m}\Pochhammersym{n+1}{m}\KummerconfhyperM@{-m}{n+1}{z} = (-1)^{m}\sum_{s=0}^{m}\binom{m}{s}\Pochhammersym{n+s+1}{m-s}(-z)^{s}}
(-1)^{m}\Pochhammersym{n+1}{m}\KummerconfhyperM@{-m}{n+1}{z} = (-1)^{m}\sum_{s=0}^{m}\binom{m}{s}\Pochhammersym{n+s+1}{m-s}(-z)^{s}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(- 1)^(m)* pochhammer(n + 1, m)*KummerM(- m, n + 1, z) = (- 1)^(m)* sum(binomial(m,s)*pochhammer(n + s + 1, m - s)*(- z)^(s), s = 0..m)

(- 1)^(m)* Pochhammer[n + 1, m]*Hypergeometric1F1[- m, n + 1, z] == (- 1)^(m)* Sum[Binomial[m,s]*Pochhammer[n + s + 1, m - s]*(- z)^(s), {s, 0, m}, GenerateConditions->None]
Failure Successful Successful [Tested: 63] Successful [Tested: 63]
13.2.E11 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{-n}{z} = z^{n+1}\KummerconfhyperU@{a+n+1}{n+2}{z}}
\KummerconfhyperU@{a}{-n}{z} = z^{n+1}\KummerconfhyperU@{a+n+1}{n+2}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU(a, - n, z) = (z)^(n + 1)* KummerU(a + n + 1, n + 2, z)

HypergeometricU[a, - n, z] == (z)^(n + 1)* HypergeometricU[a + n + 1, n + 2, z]
Failure Successful Successful [Tested: 126] Successful [Tested: 126]
13.2.E12 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{b}{ze^{2\pi\iunit m}} = \frac{2\pi\iunit e^{-\pi\iunit bm}\sin@{\pi bm}}{\EulerGamma@{1+a-b}\sin@{\pi b}}\OlverconfhyperM@{a}{b}{z}+e^{-2\pi\iunit bm}\KummerconfhyperU@{a}{b}{z}}
\KummerconfhyperU@{a}{b}{ze^{2\pi\iunit m}} = \frac{2\pi\iunit e^{-\pi\iunit bm}\sin@{\pi bm}}{\EulerGamma@{1+a-b}\sin@{\pi b}}\OlverconfhyperM@{a}{b}{z}+e^{-2\pi\iunit bm}\KummerconfhyperU@{a}{b}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(1+a-b)} > 0, \realpart@@{(b+s)} > 0} 
KummerU(a, b, z*exp(2*Pi*I*m)) = (2*Pi*I*exp(- Pi*I*b*m)*sin(Pi*b*m))/(GAMMA(1 + a - b)*sin(Pi*b))*KummerM(a, b, z)/GAMMA(b)+ exp(- 2*Pi*I*b*m)*KummerU(a, b, z)

HypergeometricU[a, b, z*Exp[2*Pi*I*m]] == Divide[2*Pi*I*Exp[- Pi*I*b*m]*Sin[Pi*b*m],Gamma[1 + a - b]*Sin[Pi*b]]*Hypergeometric1F1Regularized[a, b, z]+ Exp[- 2*Pi*I*b*m]*HypergeometricU[a, b, z]
Failure Failure
Failed [230 / 300]
Result: -.101548209-1.031304846*I
Test Values: {a = -3/2, b = -3/2, z = 1/2*3^(1/2)+1/2*I, m = 1}


Result: -.101548218-1.031304823*I
Test Values: {a = -3/2, b = -3/2, z = 1/2*3^(1/2)+1/2*I, m = 3}

... skip entries to safe data
Failed [230 / 300]
Result: Complex[-0.10154820915393259, -1.0313048488210503]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[m, 1], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}


Result: Complex[-0.1015482091539317, -1.03130484882105]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[m, 3], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
13.2.E33 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Wronskian@{\OlverconfhyperM@{a}{b}{z},z^{1-b}\OlverconfhyperM@{a-b+1}{2-b}{z}} = \sin@{\pi b}z^{-b}e^{z}/\pi}
\Wronskian@{\OlverconfhyperM@{a}{b}{z},z^{1-b}\OlverconfhyperM@{a-b+1}{2-b}{z}} = \sin@{\pi b}z^{-b}e^{z}/\pi		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(b+s)} > 0, \realpart@@{((2-b)+s)} > 0} 
(KummerM(a, b, z)/GAMMA(b))*diff((z)^(1 - b)* KummerM(a - b + 1, 2 - b, z)/GAMMA(2 - b), z)-diff(KummerM(a, b, z)/GAMMA(b), z)*((z)^(1 - b)* KummerM(a - b + 1, 2 - b, z)/GAMMA(2 - b)) = sin(Pi*b)*(z)^(- b)* exp(z)/Pi

Wronskian[{Hypergeometric1F1Regularized[a, b, z], (z)^(1 - b)* Hypergeometric1F1Regularized[a - b + 1, 2 - b, z]}, z] == Sin[Pi*b]*(z)^(- b)* Exp[z]/Pi
Failure Failure Error Successful [Tested: 252]
13.2.E34 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Wronskian@{\OlverconfhyperM@{a}{b}{z},\KummerconfhyperU@{a}{b}{z}} = -\ifrac{z^{-b}e^{z}}{\EulerGamma@{a}}}
\Wronskian@{\OlverconfhyperM@{a}{b}{z},\KummerconfhyperU@{a}{b}{z}} = -\ifrac{z^{-b}e^{z}}{\EulerGamma@{a}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{a} > 0, \realpart@@{(b+s)} > 0} 
(KummerM(a, b, z)/GAMMA(b))*diff(KummerU(a, b, z), z)-diff(KummerM(a, b, z)/GAMMA(b), z)*(KummerU(a, b, z)) = -((z)^(- b)* exp(z))/(GAMMA(a))

Wronskian[{Hypergeometric1F1Regularized[a, b, z], HypergeometricU[a, b, z]}, z] == -Divide[(z)^(- b)* Exp[z],Gamma[a]]
Failure Failure Error Successful [Tested: 126]
13.2.E35 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Wronskian@{\OlverconfhyperM@{a}{b}{z},e^{z}\KummerconfhyperU@{b-a}{b}{e^{+\pi\iunit}z}} = \ifrac{e^{- b\pi\iunit}z^{-b}e^{z}}{\EulerGamma@{b-a}}}
\Wronskian@{\OlverconfhyperM@{a}{b}{z},e^{z}\KummerconfhyperU@{b-a}{b}{e^{+\pi\iunit}z}} = \ifrac{e^{- b\pi\iunit}z^{-b}e^{z}}{\EulerGamma@{b-a}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(b-a)} > 0, \realpart@@{(b+s)} > 0} 
(KummerM(a, b, z)/GAMMA(b))*diff(exp(z)*KummerU(b - a, b, exp(+ Pi*I)*z), z)-diff(KummerM(a, b, z)/GAMMA(b), z)*(exp(z)*KummerU(b - a, b, exp(+ Pi*I)*z)) = (exp(- b*Pi*I)*(z)^(- b)* exp(z))/(GAMMA(b - a))

Wronskian[{Hypergeometric1F1Regularized[a, b, z], Exp[z]*HypergeometricU[b - a, b, Exp[+ Pi*I]*z]}, z] == Divide[Exp[- b*Pi*I]*(z)^(- b)* Exp[z],Gamma[b - a]]
Failure Failure
Failed [23 / 105]
Result: -.6693440963-2.281274239*I
Test Values: {a = -3/2, b = 3/2, z = 1/2*3^(1/2)+1/2*I}


Result: -.4620307839+.3929465556*I
Test Values: {a = -3/2, b = 3/2, z = -1/2+1/2*I*3^(1/2)}

... skip entries to safe data
Failed [20 / 105]
Result: Complex[-0.6693440961046373, -2.2812742393329124]
Test Values: {Rule[a, -1.5], Rule[b, 1.5], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}


Result: Complex[-0.46203078407110554, 0.39294655583435506]
Test Values: {Rule[a, -1.5], Rule[b, 1.5], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.2.E35 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Wronskian@{\OlverconfhyperM@{a}{b}{z},e^{z}\KummerconfhyperU@{b-a}{b}{e^{-\pi\iunit}z}} = \ifrac{e^{+ b\pi\iunit}z^{-b}e^{z}}{\EulerGamma@{b-a}}}
\Wronskian@{\OlverconfhyperM@{a}{b}{z},e^{z}\KummerconfhyperU@{b-a}{b}{e^{-\pi\iunit}z}} = \ifrac{e^{+ b\pi\iunit}z^{-b}e^{z}}{\EulerGamma@{b-a}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(b-a)} > 0, \realpart@@{(b+s)} > 0} 
(KummerM(a, b, z)/GAMMA(b))*diff(exp(z)*KummerU(b - a, b, exp(- Pi*I)*z), z)-diff(KummerM(a, b, z)/GAMMA(b), z)*(exp(z)*KummerU(b - a, b, exp(- Pi*I)*z)) = (exp(+ b*Pi*I)*(z)^(- b)* exp(z))/(GAMMA(b - a))

Wronskian[{Hypergeometric1F1Regularized[a, b, z], Exp[z]*HypergeometricU[b - a, b, Exp[- Pi*I]*z]}, z] == Divide[Exp[+ b*Pi*I]*(z)^(- b)* Exp[z],Gamma[b - a]]
Failure Failure
Failed [53 / 105]
Result: -1.068139482+1.255929884*I
Test Values: {a = -3/2, b = 3/2, z = 1/2-1/2*I*3^(1/2)}


Result: .1184211651-.4036057902*I
Test Values: {a = -3/2, b = 3/2, z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [50 / 105]
Result: Complex[-1.0681394822800954, 1.2559298845291709]
Test Values: {Rule[a, -1.5], Rule[b, 1.5], Rule[z, Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]]}


Result: Complex[0.11842116492450601, -0.40360579036441874]
Test Values: {Rule[a, -1.5], Rule[b, 1.5], Rule[z, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}

... skip entries to safe data
13.2.E36 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Wronskian@{z^{1-b}\OlverconfhyperM@{a-b+1}{2-b}{z},\KummerconfhyperU@{a}{b}{z}} = -\ifrac{z^{-b}e^{z}}{\EulerGamma@{a-b+1}}}
\Wronskian@{z^{1-b}\OlverconfhyperM@{a-b+1}{2-b}{z},\KummerconfhyperU@{a}{b}{z}} = -\ifrac{z^{-b}e^{z}}{\EulerGamma@{a-b+1}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(a-b+1)} > 0, \realpart@@{((2-b)+s)} > 0} 
((z)^(1 - b)* KummerM(a - b + 1, 2 - b, z)/GAMMA(2 - b))*diff(KummerU(a, b, z), z)-diff((z)^(1 - b)* KummerM(a - b + 1, 2 - b, z)/GAMMA(2 - b), z)*(KummerU(a, b, z)) = -((z)^(- b)* exp(z))/(GAMMA(a - b + 1))

Wronskian[{(z)^(1 - b)* Hypergeometric1F1Regularized[a - b + 1, 2 - b, z], HypergeometricU[a, b, z]}, z] == -Divide[(z)^(- b)* Exp[z],Gamma[a - b + 1]]
Failure Failure Error Successful [Tested: 161]
13.2.E37 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Wronskian@{z^{1-b}\OlverconfhyperM@{a-b+1}{2-b}{z},e^{z}\KummerconfhyperU@{b-a}{b}{e^{+\pi\iunit}z}} = -\ifrac{z^{-b}e^{z}}{\EulerGamma@{1-a}}}
\Wronskian@{z^{1-b}\OlverconfhyperM@{a-b+1}{2-b}{z},e^{z}\KummerconfhyperU@{b-a}{b}{e^{+\pi\iunit}z}} = -\ifrac{z^{-b}e^{z}}{\EulerGamma@{1-a}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(1-a)} > 0, \realpart@@{((2-b)+s)} > 0} 
((z)^(1 - b)* KummerM(a - b + 1, 2 - b, z)/GAMMA(2 - b))*diff(exp(z)*KummerU(b - a, b, exp(+ Pi*I)*z), z)-diff((z)^(1 - b)* KummerM(a - b + 1, 2 - b, z)/GAMMA(2 - b), z)*(exp(z)*KummerU(b - a, b, exp(+ Pi*I)*z)) = -((z)^(- b)* exp(z))/(GAMMA(1 - a))

Wronskian[{(z)^(1 - b)* Hypergeometric1F1Regularized[a - b + 1, 2 - b, z], Exp[z]*HypergeometricU[b - a, b, Exp[+ Pi*I]*z]}, z] == -Divide[(z)^(- b)* Exp[z],Gamma[1 - a]]
Failure Aborted Error Successful [Tested: 168]
13.2.E37 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Wronskian@{z^{1-b}\OlverconfhyperM@{a-b+1}{2-b}{z},e^{z}\KummerconfhyperU@{b-a}{b}{e^{-\pi\iunit}z}} = -\ifrac{z^{-b}e^{z}}{\EulerGamma@{1-a}}}
\Wronskian@{z^{1-b}\OlverconfhyperM@{a-b+1}{2-b}{z},e^{z}\KummerconfhyperU@{b-a}{b}{e^{-\pi\iunit}z}} = -\ifrac{z^{-b}e^{z}}{\EulerGamma@{1-a}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(1-a)} > 0, \realpart@@{((2-b)+s)} > 0} 
((z)^(1 - b)* KummerM(a - b + 1, 2 - b, z)/GAMMA(2 - b))*diff(exp(z)*KummerU(b - a, b, exp(- Pi*I)*z), z)-diff((z)^(1 - b)* KummerM(a - b + 1, 2 - b, z)/GAMMA(2 - b), z)*(exp(z)*KummerU(b - a, b, exp(- Pi*I)*z)) = -((z)^(- b)* exp(z))/(GAMMA(1 - a))

Wronskian[{(z)^(1 - b)* Hypergeometric1F1Regularized[a - b + 1, 2 - b, z], Exp[z]*HypergeometricU[b - a, b, Exp[- Pi*I]*z]}, z] == -Divide[(z)^(- b)* Exp[z],Gamma[1 - a]]
Failure Aborted Error Successful [Tested: 168]
13.2.E38 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Wronskian@{\KummerconfhyperU@{a}{b}{z},e^{z}\KummerconfhyperU@{b-a}{b}{e^{+\pi\iunit}z}} = e^{+(a-b)\pi\iunit}z^{-b}e^{z}}
\Wronskian@{\KummerconfhyperU@{a}{b}{z},e^{z}\KummerconfhyperU@{b-a}{b}{e^{+\pi\iunit}z}} = e^{+(a-b)\pi\iunit}z^{-b}e^{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(KummerU(a, b, z))*diff(exp(z)*KummerU(b - a, b, exp(+ Pi*I)*z), z)-diff(KummerU(a, b, z), z)*(exp(z)*KummerU(b - a, b, exp(+ Pi*I)*z)) = exp(+(a - b)*Pi*I)*(z)^(- b)* exp(z)

Wronskian[{HypergeometricU[a, b, z], Exp[z]*HypergeometricU[b - a, b, Exp[+ Pi*I]*z]}, z] == Exp[+(a - b)*Pi*I]*(z)^(- b)* Exp[z]
Failure Aborted
Failed [38 / 252]
Result: 4.753561418-.1121990572*I
Test Values: {a = -3/2, b = -2, z = 1/2*3^(1/2)+1/2*I}


Result: -1.142634185-.4073142366*I
Test Values: {a = -3/2, b = -2, z = -1/2+1/2*I*3^(1/2)}

... skip entries to safe data
Failed [32 / 252]
Result: Complex[4.753561408836843, -0.1121990577209182]
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[-1.1426341834354088, -0.40731423683768475]
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.2.E38 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Wronskian@{\KummerconfhyperU@{a}{b}{z},e^{z}\KummerconfhyperU@{b-a}{b}{e^{-\pi\iunit}z}} = e^{-(a-b)\pi\iunit}z^{-b}e^{z}}
\Wronskian@{\KummerconfhyperU@{a}{b}{z},e^{z}\KummerconfhyperU@{b-a}{b}{e^{-\pi\iunit}z}} = e^{-(a-b)\pi\iunit}z^{-b}e^{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(KummerU(a, b, z))*diff(exp(z)*KummerU(b - a, b, exp(- Pi*I)*z), z)-diff(KummerU(a, b, z), z)*(exp(z)*KummerU(b - a, b, exp(- Pi*I)*z)) = exp(-(a - b)*Pi*I)*(z)^(- b)* exp(z)
 
Wronskian[{HypergeometricU[a, b, z], Exp[z]*HypergeometricU[b - a, b, Exp[- Pi*I]*z]}, z] == Exp[-(a - b)*Pi*I]*(z)^(- b)* Exp[z]
 Failure Aborted
Failed [80 / 252]
Result: .5941419621-3.243473855*I
Test Values: {a = -3/2, b = -2, z = 1/2-1/2*I*3^(1/2)}

Result: -.4376938533+.7184072077*I
Test Values: {a = -3/2, b = -2, z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [80 / 252]
Result: Complex[0.5941419683502733, -3.243473853028733]
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]]}

Result: Complex[-0.4376938536795689, 0.7184072074542298]
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}

... skip entries to safe data
13.2.E39 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperM@{a}{b}{z} = e^{z}\KummerconfhyperM@{b-a}{b}{-z}}
\KummerconfhyperM@{a}{b}{z} = e^{z}\KummerconfhyperM@{b-a}{b}{-z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerM(a, b, z) = exp(z)*KummerM(b - a, b, - z)
 
Hypergeometric1F1[a, b, z] == Exp[z]*Hypergeometric1F1[b - a, b, - z]
 Failure Successful Error
Failed [42 / 252]
Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.2.E40 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{b}{z} = z^{1-b}\KummerconfhyperU@{a-b+1}{2-b}{z}}
\KummerconfhyperU@{a}{b}{z} = z^{1-b}\KummerconfhyperU@{a-b+1}{2-b}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU(a, b, z) = (z)^(1 - b)* KummerU(a - b + 1, 2 - b, z)
 
HypergeometricU[a, b, z] == (z)^(1 - b)* HypergeometricU[a - b + 1, 2 - b, z]
 Successful Successful - Successful [Tested: 252]
13.2.E41 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{1}{\EulerGamma@{b}}\KummerconfhyperM@{a}{b}{z} = \frac{e^{- a\pi\iunit}}{\EulerGamma@{b-a}}\KummerconfhyperU@{a}{b}{z}+\frac{e^{+(b-a)\pi\iunit}}{\EulerGamma@{a}}e^{z}\KummerconfhyperU@{b-a}{b}{e^{+\pi\iunit}z}}
\frac{1}{\EulerGamma@{b}}\KummerconfhyperM@{a}{b}{z} = \frac{e^{- a\pi\iunit}}{\EulerGamma@{b-a}}\KummerconfhyperU@{a}{b}{z}+\frac{e^{+(b-a)\pi\iunit}}{\EulerGamma@{a}}e^{z}\KummerconfhyperU@{b-a}{b}{e^{+\pi\iunit}z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{b} > 0, \realpart@@{(b-a)} > 0, \realpart@@{a} > 0} 
(1)/(GAMMA(b))*KummerM(a, b, z) = (exp(- a*Pi*I))/(GAMMA(b - a))*KummerU(a, b, z)+(exp(+(b - a)*Pi*I))/(GAMMA(a))*exp(z)*KummerU(b - a, b, exp(+ Pi*I)*z)
 
Divide[1,Gamma[b]]*Hypergeometric1F1[a, b, z] == Divide[Exp[- a*Pi*I],Gamma[b - a]]*HypergeometricU[a, b, z]+Divide[Exp[+(b - a)*Pi*I],Gamma[a]]*Exp[z]*HypergeometricU[b - a, b, Exp[+ Pi*I]*z]
 Failure Failure
Failed [6 / 21]
Result: 3.583210384+1.512741910*I
Test Values: {a = 3/2, b = 2, z = 1/2*3^(1/2)+1/2*I}

Result: 1.096602540+.7868998856*I
Test Values: {a = 3/2, b = 2, z = -1/2+1/2*I*3^(1/2)}

... skip entries to safe data
Failed [6 / 21]
Result: Complex[3.583210382577498, 1.512741908514331]
Test Values: {Rule[a, 1.5], Rule[b, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[1.096602539454242, 0.7868998849931845]
Test Values: {Rule[a, 1.5], Rule[b, 2], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.2.E41 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{1}{\EulerGamma@{b}}\KummerconfhyperM@{a}{b}{z} = \frac{e^{+ a\pi\iunit}}{\EulerGamma@{b-a}}\KummerconfhyperU@{a}{b}{z}+\frac{e^{-(b-a)\pi\iunit}}{\EulerGamma@{a}}e^{z}\KummerconfhyperU@{b-a}{b}{e^{-\pi\iunit}z}}
\frac{1}{\EulerGamma@{b}}\KummerconfhyperM@{a}{b}{z} = \frac{e^{+ a\pi\iunit}}{\EulerGamma@{b-a}}\KummerconfhyperU@{a}{b}{z}+\frac{e^{-(b-a)\pi\iunit}}{\EulerGamma@{a}}e^{z}\KummerconfhyperU@{b-a}{b}{e^{-\pi\iunit}z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{b} > 0, \realpart@@{(b-a)} > 0, \realpart@@{a} > 0} 
(1)/(GAMMA(b))*KummerM(a, b, z) = (exp(+ a*Pi*I))/(GAMMA(b - a))*KummerU(a, b, z)+(exp(-(b - a)*Pi*I))/(GAMMA(a))*exp(z)*KummerU(b - a, b, exp(- Pi*I)*z)
 
Divide[1,Gamma[b]]*Hypergeometric1F1[a, b, z] == Divide[Exp[+ a*Pi*I],Gamma[b - a]]*HypergeometricU[a, b, z]+Divide[Exp[-(b - a)*Pi*I],Gamma[a]]*Exp[z]*HypergeometricU[b - a, b, Exp[- Pi*I]*z]
 Failure Failure
Failed [15 / 21]
Result: 2.239690726-1.798422043*I
Test Values: {a = 3/2, b = 2, z = 1/2-1/2*I*3^(1/2)}

Result: .9984283068-.3592011980*I
Test Values: {a = 3/2, b = 2, z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [15 / 21]
Result: Complex[2.239690726834086, -1.7984220417127512]
Test Values: {Rule[a, 1.5], Rule[b, 2], Rule[z, Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]]}

Result: Complex[0.9984283065924617, -0.35920119796837185]
Test Values: {Rule[a, 1.5], Rule[b, 2], Rule[z, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}

... skip entries to safe data
13.2.E42 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{b}{z} = \frac{\EulerGamma@{1-b}}{\EulerGamma@{a-b+1}}\KummerconfhyperM@{a}{b}{z}+\frac{\EulerGamma@{b-1}}{\EulerGamma@{a}}z^{1-b}\KummerconfhyperM@{a-b+1}{2-b}{z}}
\KummerconfhyperU@{a}{b}{z} = \frac{\EulerGamma@{1-b}}{\EulerGamma@{a-b+1}}\KummerconfhyperM@{a}{b}{z}+\frac{\EulerGamma@{b-1}}{\EulerGamma@{a}}z^{1-b}\KummerconfhyperM@{a-b+1}{2-b}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(1-b)} > 0, \realpart@@{(a-b+1)} > 0, \realpart@@{(b-1)} > 0, \realpart@@{a} > 0} 
KummerU(a, b, z) = (GAMMA(1 - b))/(GAMMA(a - b + 1))*KummerM(a, b, z)+(GAMMA(b - 1))/(GAMMA(a))*(z)^(1 - b)* KummerM(a - b + 1, 2 - b, z)
 
HypergeometricU[a, b, z] == Divide[Gamma[1 - b],Gamma[a - b + 1]]*Hypergeometric1F1[a, b, z]+Divide[Gamma[b - 1],Gamma[a]]*(z)^(1 - b)* Hypergeometric1F1[a - b + 1, 2 - b, z]
 Successful Successful - -
13.3.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (b-a)\KummerconfhyperM@{a-1}{b}{z}+(2a-b+z)\KummerconfhyperM@{a}{b}{z}-a\KummerconfhyperM@{a+1}{b}{z} = 0}
(b-a)\KummerconfhyperM@{a-1}{b}{z}+(2a-b+z)\KummerconfhyperM@{a}{b}{z}-a\KummerconfhyperM@{a+1}{b}{z} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(b - a)*KummerM(a - 1, b, z)+(2*a - b + z)*KummerM(a, b, z)- a*KummerM(a + 1, b, z) = 0
 
(b - a)*Hypergeometric1F1[a - 1, b, z]+(2*a - b + z)*Hypergeometric1F1[a, b, z]- a*Hypergeometric1F1[a + 1, b, z] == 0
 Successful Successful -
Failed [42 / 252]
Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.3.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b(b-1)\KummerconfhyperM@{a}{b-1}{z}+b(1-b-z)\KummerconfhyperM@{a}{b}{z}+z(b-a)\KummerconfhyperM@{a}{b+1}{z} = 0}
b(b-1)\KummerconfhyperM@{a}{b-1}{z}+b(1-b-z)\KummerconfhyperM@{a}{b}{z}+z(b-a)\KummerconfhyperM@{a}{b+1}{z} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
b*(b - 1)*KummerM(a, b - 1, z)+ b*(1 - b - z)*KummerM(a, b, z)+ z*(b - a)*KummerM(a, b + 1, z) = 0
 
b*(b - 1)*Hypergeometric1F1[a, b - 1, z]+ b*(1 - b - z)*Hypergeometric1F1[a, b, z]+ z*(b - a)*Hypergeometric1F1[a, b + 1, z] == 0
 Successful Successful -
Failed [42 / 252]
Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.3.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (a-b+1)\KummerconfhyperM@{a}{b}{z}-a\KummerconfhyperM@{a+1}{b}{z}+(b-1)\KummerconfhyperM@{a}{b-1}{z} = 0}
(a-b+1)\KummerconfhyperM@{a}{b}{z}-a\KummerconfhyperM@{a+1}{b}{z}+(b-1)\KummerconfhyperM@{a}{b-1}{z} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(a - b + 1)*KummerM(a, b, z)- a*KummerM(a + 1, b, z)+(b - 1)*KummerM(a, b - 1, z) = 0
 
(a - b + 1)*Hypergeometric1F1[a, b, z]- a*Hypergeometric1F1[a + 1, b, z]+(b - 1)*Hypergeometric1F1[a, b - 1, z] == 0
 Successful Successful -
Failed [35 / 252]
Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.3.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b\KummerconfhyperM@{a}{b}{z}-b\KummerconfhyperM@{a-1}{b}{z}-z\KummerconfhyperM@{a}{b+1}{z} = 0}
b\KummerconfhyperM@{a}{b}{z}-b\KummerconfhyperM@{a-1}{b}{z}-z\KummerconfhyperM@{a}{b+1}{z} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
b*KummerM(a, b, z)- b*KummerM(a - 1, b, z)- z*KummerM(a, b + 1, z) = 0
 
b*Hypergeometric1F1[a, b, z]- b*Hypergeometric1F1[a - 1, b, z]- z*Hypergeometric1F1[a, b + 1, z] == 0
 Successful Successful -
Failed [42 / 252]
Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.3.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b(a+z)\KummerconfhyperM@{a}{b}{z}+z(a-b)\KummerconfhyperM@{a}{b+1}{z}-ab\KummerconfhyperM@{a+1}{b}{z} = 0}
b(a+z)\KummerconfhyperM@{a}{b}{z}+z(a-b)\KummerconfhyperM@{a}{b+1}{z}-ab\KummerconfhyperM@{a+1}{b}{z} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
b*(a + z)*KummerM(a, b, z)+ z*(a - b)*KummerM(a, b + 1, z)- a*b*KummerM(a + 1, b, z) = 0
 
b*(a + z)*Hypergeometric1F1[a, b, z]+ z*(a - b)*Hypergeometric1F1[a, b + 1, z]- a*b*Hypergeometric1F1[a + 1, b, z] == 0
 Successful Successful -
Failed [42 / 252]
Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.3.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (a-1+z)\KummerconfhyperM@{a}{b}{z}+(b-a)\KummerconfhyperM@{a-1}{b}{z}+(1-b)\KummerconfhyperM@{a}{b-1}{z} = 0}
(a-1+z)\KummerconfhyperM@{a}{b}{z}+(b-a)\KummerconfhyperM@{a-1}{b}{z}+(1-b)\KummerconfhyperM@{a}{b-1}{z} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(a - 1 + z)*KummerM(a, b, z)+(b - a)*KummerM(a - 1, b, z)+(1 - b)*KummerM(a, b - 1, z) = 0
 
(a - 1 + z)*Hypergeometric1F1[a, b, z]+(b - a)*Hypergeometric1F1[a - 1, b, z]+(1 - b)*Hypergeometric1F1[a, b - 1, z] == 0
 Successful Successful -
Failed [42 / 252]
Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.3.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a-1}{b}{z}+(b-2a-z)\KummerconfhyperU@{a}{b}{z}+a(a-b+1)\KummerconfhyperU@{a+1}{b}{z} = 0}
\KummerconfhyperU@{a-1}{b}{z}+(b-2a-z)\KummerconfhyperU@{a}{b}{z}+a(a-b+1)\KummerconfhyperU@{a+1}{b}{z} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU(a - 1, b, z)+(b - 2*a - z)*KummerU(a, b, z)+ a*(a - b + 1)*KummerU(a + 1, b, z) = 0
 
HypergeometricU[a - 1, b, z]+(b - 2*a - z)*HypergeometricU[a, b, z]+ a*(a - b + 1)*HypergeometricU[a + 1, b, z] == 0
 Successful Successful - Successful [Tested: 252]
13.3.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (b-a-1)\KummerconfhyperU@{a}{b-1}{z}+(1-b-z)\KummerconfhyperU@{a}{b}{z}+z\KummerconfhyperU@{a}{b+1}{z} = 0}
(b-a-1)\KummerconfhyperU@{a}{b-1}{z}+(1-b-z)\KummerconfhyperU@{a}{b}{z}+z\KummerconfhyperU@{a}{b+1}{z} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(b - a - 1)*KummerU(a, b - 1, z)+(1 - b - z)*KummerU(a, b, z)+ z*KummerU(a, b + 1, z) = 0
 
(b - a - 1)*HypergeometricU[a, b - 1, z]+(1 - b - z)*HypergeometricU[a, b, z]+ z*HypergeometricU[a, b + 1, z] == 0
 Successful Successful - Successful [Tested: 252]
13.3.E9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{b}{z}-a\KummerconfhyperU@{a+1}{b}{z}-\KummerconfhyperU@{a}{b-1}{z} = 0}
\KummerconfhyperU@{a}{b}{z}-a\KummerconfhyperU@{a+1}{b}{z}-\KummerconfhyperU@{a}{b-1}{z} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU(a, b, z)- a*KummerU(a + 1, b, z)- KummerU(a, b - 1, z) = 0
 
HypergeometricU[a, b, z]- a*HypergeometricU[a + 1, b, z]- HypergeometricU[a, b - 1, z] == 0
 Successful Successful - Successful [Tested: 252]
13.3.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (b-a)\KummerconfhyperU@{a}{b}{z}+\KummerconfhyperU@{a-1}{b}{z}-z\KummerconfhyperU@{a}{b+1}{z} = 0}
(b-a)\KummerconfhyperU@{a}{b}{z}+\KummerconfhyperU@{a-1}{b}{z}-z\KummerconfhyperU@{a}{b+1}{z} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(b - a)*KummerU(a, b, z)+ KummerU(a - 1, b, z)- z*KummerU(a, b + 1, z) = 0
 
(b - a)*HypergeometricU[a, b, z]+ HypergeometricU[a - 1, b, z]- z*HypergeometricU[a, b + 1, z] == 0
 Successful Successful - Successful [Tested: 252]
13.3.E11 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (a+z)\KummerconfhyperU@{a}{b}{z}-z\KummerconfhyperU@{a}{b+1}{z}+a(b-a-1)\KummerconfhyperU@{a+1}{b}{z} = 0}
(a+z)\KummerconfhyperU@{a}{b}{z}-z\KummerconfhyperU@{a}{b+1}{z}+a(b-a-1)\KummerconfhyperU@{a+1}{b}{z} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(a + z)*KummerU(a, b, z)- z*KummerU(a, b + 1, z)+ a*(b - a - 1)*KummerU(a + 1, b, z) = 0
 
(a + z)*HypergeometricU[a, b, z]- z*HypergeometricU[a, b + 1, z]+ a*(b - a - 1)*HypergeometricU[a + 1, b, z] == 0
 Successful Successful - Successful [Tested: 252]
13.3.E12 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (a-1+z)\KummerconfhyperU@{a}{b}{z}-\KummerconfhyperU@{a-1}{b}{z}+(a-b+1)\KummerconfhyperU@{a}{b-1}{z} = 0}
(a-1+z)\KummerconfhyperU@{a}{b}{z}-\KummerconfhyperU@{a-1}{b}{z}+(a-b+1)\KummerconfhyperU@{a}{b-1}{z} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(a - 1 + z)*KummerU(a, b, z)- KummerU(a - 1, b, z)+(a - b + 1)*KummerU(a, b - 1, z) = 0
 
(a - 1 + z)*HypergeometricU[a, b, z]- HypergeometricU[a - 1, b, z]+(a - b + 1)*HypergeometricU[a, b - 1, z] == 0
 Successful Successful - Successful [Tested: 252]
13.3.E13 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (a+1)z\KummerconfhyperM@{a+2}{b+2}{z}+(b+1)(b-z)\KummerconfhyperM@{a+1}{b+1}{z}-b(b+1)\KummerconfhyperM@{a}{b}{z} = 0}
(a+1)z\KummerconfhyperM@{a+2}{b+2}{z}+(b+1)(b-z)\KummerconfhyperM@{a+1}{b+1}{z}-b(b+1)\KummerconfhyperM@{a}{b}{z} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(a + 1)*z*KummerM(a + 2, b + 2, z)+(b + 1)*(b - z)*KummerM(a + 1, b + 1, z)- b*(b + 1)*KummerM(a, b, z) = 0
 
(a + 1)*z*Hypergeometric1F1[a + 2, b + 2, z]+(b + 1)*(b - z)*Hypergeometric1F1[a + 1, b + 1, z]- b*(b + 1)*Hypergeometric1F1[a, b, z] == 0
 Successful Successful -
Failed [35 / 252]
Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.3.E14 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (a+1)z\KummerconfhyperU@{a+2}{b+2}{z}+(z-b)\KummerconfhyperU@{a+1}{b+1}{z}-\KummerconfhyperU@{a}{b}{z} = 0}
(a+1)z\KummerconfhyperU@{a+2}{b+2}{z}+(z-b)\KummerconfhyperU@{a+1}{b+1}{z}-\KummerconfhyperU@{a}{b}{z} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(a + 1)*z*KummerU(a + 2, b + 2, z)+(z - b)*KummerU(a + 1, b + 1, z)- KummerU(a, b, z) = 0
 
(a + 1)*z*HypergeometricU[a + 2, b + 2, z]+(z - b)*HypergeometricU[a + 1, b + 1, z]- HypergeometricU[a, b, z] == 0
 Successful Successful - Successful [Tested: 252]
13.3.E15 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\KummerconfhyperM@{a}{b}{z} = \frac{a}{b}\KummerconfhyperM@{a+1}{b+1}{z}}
\deriv{}{z}\KummerconfhyperM@{a}{b}{z} = \frac{a}{b}\KummerconfhyperM@{a+1}{b+1}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(KummerM(a, b, z), z) = (a)/(b)*KummerM(a + 1, b + 1, z)
 
D[Hypergeometric1F1[a, b, z], z] == Divide[a,b]*Hypergeometric1F1[a + 1, b + 1, z]
 Successful Successful - Successful [Tested: 252]
13.3.E16 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv[n]{}{z}\KummerconfhyperM@{a}{b}{z} = \frac{\Pochhammersym{a}{n}}{\Pochhammersym{b}{n}}\KummerconfhyperM@{a+n}{b+n}{z}}
\deriv[n]{}{z}\KummerconfhyperM@{a}{b}{z} = \frac{\Pochhammersym{a}{n}}{\Pochhammersym{b}{n}}\KummerconfhyperM@{a+n}{b+n}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(KummerM(a, b, z), [z$(n)]) = (pochhammer(a, n))/(pochhammer(b, n))*KummerM(a + n, b + n, z)
 
D[Hypergeometric1F1[a, b, z], {z, n}] == Divide[Pochhammer[a, n],Pochhammer[b, n]]*Hypergeometric1F1[a + n, b + n, z]
 Successful Failure -
Failed [42 / 300]
Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[n, 1], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[n, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
13.3.E17 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \left(z\deriv{}{z}z\right)^{n}\left(z^{a-1}\KummerconfhyperM@{a}{b}{z}\right) = \Pochhammersym{a}{n}z^{a+n-1}\KummerconfhyperM@{a+n}{b}{z}}
\left(z\deriv{}{z}z\right)^{n}\left(z^{a-1}\KummerconfhyperM@{a}{b}{z}\right) = \Pochhammersym{a}{n}z^{a+n-1}\KummerconfhyperM@{a+n}{b}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(z*diff(z, z))^(n)*((z)^(a - 1)* KummerM(a, b, z)) = pochhammer(a, n)*(z)^(a + n - 1)* KummerM(a + n, b, z)
 
(z*D[z, z])^(n)*((z)^(a - 1)* Hypergeometric1F1[a, b, z]) == Pochhammer[a, n]*(z)^(a + n - 1)* Hypergeometric1F1[a + n, b, z]
 Failure Failure
Failed [300 / 300]
Result: 3.392872106-2.234328368*I
Test Values: {a = -3/2, b = -3/2, z = 1/2*3^(1/2)+1/2*I, n = 1}

Result: 1.628540387-.5000628115*I
Test Values: {a = -3/2, b = -3/2, z = 1/2*3^(1/2)+1/2*I, n = 2}

... skip entries to safe data
Failed [300 / 300]
Result: Complex[3.392872106018638, -2.234328368828302]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[n, 1], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[1.628540387739978, -0.5000628109822313]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[n, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
13.3.E18 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv[n]{}{z}\left(z^{b-1}\KummerconfhyperM@{a}{b}{z}\right) = \Pochhammersym{b-n}{n}z^{b-n-1}\KummerconfhyperM@{a}{b-n}{z}}
\deriv[n]{}{z}\left(z^{b-1}\KummerconfhyperM@{a}{b}{z}\right) = \Pochhammersym{b-n}{n}z^{b-n-1}\KummerconfhyperM@{a}{b-n}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff((z)^(b - 1)* KummerM(a, b, z), [z$(n)]) = pochhammer(b - n, n)*(z)^(b - n - 1)* KummerM(a, b - n, z)
 
D[(z)^(b - 1)* Hypergeometric1F1[a, b, z], {z, n}] == Pochhammer[b - n, n]*(z)^(b - n - 1)* Hypergeometric1F1[a, b - n, z]
 Failure Failure Error
Failed [300 / 300]
Result: Plus[Complex[-0.23854907479223686, -4.055477620017901], Times[Complex[-0.2588190451025206, -0.9659258262890682], DifferenceRoot[Function[{, }
Test Values: {Equal[Plus[Times[Plus[, -1.5], Plus[-1, Times[-1, ], 1], Plus[Times[-1, ], 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]], []], Times[-1, Plus[-1, Times[-1, ], 1], Plus[Power[, 2], Power[, 3], Times[2, , -1.5], Times[2, Power[, 2], -1.5], Power[-1.5, 2], Times[, Power[-1.5, 2]], Times[-1, , 1], Times[-1, Power[, 2], 1], Times[-1, -1.5, 1], Times[-1, , -1.5, 1], Times[-1, , Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-2, Power[, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, , -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, , -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[2, , 1, Pow<syntaxhighlight lang=mathematica>Result: Plus[Complex[7.020632087540109, 10.129888243360973], Times[Complex[-1.4142135623730947, -1.414213562373095], DifferenceRoot[Function[{, }
Test Values: {Equal[Plus[Times[Plus[, -1.5], Plus[-1, Times[-1, ], 2], Plus[Times[-1, ], 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]], []], Times[-1, Plus[-1, Times[-1, ], 2], Plus[Power[, 2], Power[, 3], Times[2, , -1.5], Times[2, Power[, 2], -1.5], Power[-1.5, 2], Times[, Power[-1.5, 2]], Times[-1, , 2], Times[-1, Power[, 2], 2], Times[-1, -1.5, 2], Times[-1, , -1.5, 2], Times[-1, , Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-2, Power[, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, , -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, , -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[2, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[2, , 2, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1.5, 2, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], [Plus[1, ]]], Times[Plus[1, ], Plus[, -1.5, Times[-1, 2]], Plus[-2, Times[-4, ], Times[-2, Power[, 2]], Times[-3, -1.5], Times[-2, , -1.5], Times[2, 2], Times[2, , 2], Times[-1.5, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]], Times[, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, 2, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], [Plus[2, ]]], Times[Plus[1, ], Plus[2, ], Plus[, -1.5, Times[-1, 2]], Plus[1, , -1.5, Times[-1, 2]], [Plus[3, ]]]], 0], Equal[[0], 0], Equal[[1], Times[Binomial[Plus[-1, -1.5], 2], Hypergeometric1F1[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]]], Equal[[2], Times[Binomial[Plus[-1, -1.5], 2], Plus[Hypergeometric1F1[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1.5, 2, Power[Plus[Power[-1.5, 2], Times[-1, -1.5, 2]], -1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]], Hypergeometric1F1[Plus[1, -1.5], Plus[1, -1.5], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]]]]]}]][3.0]]], {Rule[a, -1.5], Rule[b, -1.5], Rule[n, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
13.3.E19 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \left(z\deriv{}{z}z\right)^{n}\left(z^{b-a-1}e^{-z}\KummerconfhyperM@{a}{b}{z}\right) = \Pochhammersym{b-a}{n}z^{b-a+n-1}e^{-z}\KummerconfhyperM@{a-n}{b}{z}}
\left(z\deriv{}{z}z\right)^{n}\left(z^{b-a-1}e^{-z}\KummerconfhyperM@{a}{b}{z}\right) = \Pochhammersym{b-a}{n}z^{b-a+n-1}e^{-z}\KummerconfhyperM@{a-n}{b}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(z*diff(z, z))^(n)*((z)^(b - a - 1)* exp(- z)*KummerM(a, b, z)) = pochhammer(b - a, n)*(z)^(b - a + n - 1)* exp(- z)*KummerM(a - n, b, z)
 
(z*D[z, z])^(n)*((z)^(b - a - 1)* Exp[- z]*Hypergeometric1F1[a, b, z]) == Pochhammer[b - a, n]*(z)^(b - a + n - 1)* Exp[- z]*Hypergeometric1F1[a - n, b, z]
 Failure Failure
Failed [298 / 300]
Result: 1.000000000-.649969050e-10*I
Test Values: {a = -3/2, b = -3/2, z = 1/2*3^(1/2)+1/2*I, n = 1}

Result: .8660254040+.4999999999*I
Test Values: {a = -3/2, b = -3/2, z = 1/2*3^(1/2)+1/2*I, n = 2}

... skip entries to safe data
Failed [298 / 300]
Result: Complex[1.0, -5.551115123125783*^-17]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[n, 1], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[0.8660254037844388, 0.49999999999999983]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[n, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
13.3.E20 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv[n]{}{z}\left(e^{-z}\KummerconfhyperM@{a}{b}{z}\right) = (-1)^{n}\frac{\Pochhammersym{b-a}{n}}{\Pochhammersym{b}{n}}e^{-z}\KummerconfhyperM@{a}{b+n}{z}}
\deriv[n]{}{z}\left(e^{-z}\KummerconfhyperM@{a}{b}{z}\right) = (-1)^{n}\frac{\Pochhammersym{b-a}{n}}{\Pochhammersym{b}{n}}e^{-z}\KummerconfhyperM@{a}{b+n}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(exp(- z)*KummerM(a, b, z), [z$(n)]) = (- 1)^(n)*(pochhammer(b - a, n))/(pochhammer(b, n))*exp(- z)*KummerM(a, b + n, z)
 
D[Exp[- z]*Hypergeometric1F1[a, b, z], {z, n}] == (- 1)^(n)*Divide[Pochhammer[b - a, n],Pochhammer[b, n]]*Exp[- z]*Hypergeometric1F1[a, b + n, z]
 Failure Failure Error
Failed [300 / 300]
Result: Plus[Complex[0.0, 0.0], Times[Complex[-0.36912880004696536, 0.20165598253870784], DifferenceRoot[Function[{, }
Test Values: {Equal[Plus[Times[Plus[, -1.5], Plus[-1, Times[-1, ], 1], Plus[Times[-1, ], 1], []], Times[Plus[-1, Times[-1, ], 1], Plus[, Times[2, Power[, 2]], Times[, -1.5], -1.5, Times[, -1.5], Times[-1, , 1], Times[-1, -1.5, 1], Times[-1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, , Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], [Plus[1, ]]], Times[-1, Plus[1, ], Plus[Times[-1, ], Times[-1, Power[, 2]], Times[-1, -1.5], Times[-1, , -1.5], Times[, 1], Times[-1.5, 1], Times[3, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[2, , Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, 1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], [Plus[2, ]]], Times[Plus[1, ], Plus[2, ], Power[E, Times[Complex[0, Rational[1, 6]], Pi]], [Plus[3, ]]]], 0], Equal[[0], 0], Equal[[1], Tim<syntaxhighlight lang=mathematica>Result: Plus[Complex[0.0, 0.0], Times[Complex[0.7382576000939307, -0.4033119650774157], DifferenceRoot[Function[{, }
Test Values: {Equal[Plus[Times[Plus[, -1.5], Plus[-1, Times[-1, ], 2], Plus[Times[-1, ], 2], []], Times[Plus[-1, Times[-1, ], 2], Plus[, Times[2, Power[, 2]], Times[, -1.5], -1.5, Times[, -1.5], Times[-1, , 2], Times[-1, -1.5, 2], Times[-1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, , Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], [Plus[1, ]]], Times[-1, Plus[1, ], Plus[Times[-1, ], Times[-1, Power[, 2]], Times[-1, -1.5], Times[-1, , -1.5], Times[, 2], Times[-1.5, 2], Times[3, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[2, , Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, 2, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], [Plus[2, ]]], Times[Plus[1, ], Plus[2, ], Power[E, Times[Complex[0, Rational[1, 6]], Pi]], [Plus[3, ]]]], 0], Equal[[0], 0], Equal[[1], Times[Power[Factorial[2], -1], Hypergeometric1F1[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]]], Equal[[2], Times[Power[-1.5, -1], Power[Factorial[2], -1], Plus[Times[-1.5, Hypergeometric1F1[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Times[-1, -1.5, 2, Hypergeometric1F1[Plus[1, -1.5], Plus[1, -1.5], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]]]]]}]][3.0]]], {Rule[a, -1.5], Rule[b, -1.5], Rule[n, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
13.3.E21 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv[n]{}{z}\left(z^{b-1}e^{-z}\KummerconfhyperM@{a}{b}{z}\right) = \Pochhammersym{b-n}{n}z^{b-n-1}e^{-z}\KummerconfhyperM@{a-n}{b-n}{z}}
\deriv[n]{}{z}\left(z^{b-1}e^{-z}\KummerconfhyperM@{a}{b}{z}\right) = \Pochhammersym{b-n}{n}z^{b-n-1}e^{-z}\KummerconfhyperM@{a-n}{b-n}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff((z)^(b - 1)* exp(- z)*KummerM(a, b, z), [z$(n)]) = pochhammer(b - n, n)*(z)^(b - n - 1)* exp(- z)*KummerM(a - n, b - n, z)
 
D[(z)^(b - 1)* Exp[- z]*Hypergeometric1F1[a, b, z], {z, n}] == Pochhammer[b - n, n]*(z)^(b - n - 1)* Exp[- z]*Hypergeometric1F1[a - n, b - n, z]
 Failure Aborted Error
Failed [300 / 300]
Result: Plus[Complex[-0.6470476127563014, -2.4148145657226703], DifferenceRoot[Function[{, }
Test Values: {Equal[Plus[Times[Plus[1, , Times[-1, -1.5]], []], Times[-1, Plus[1, ], Plus[-2, Times[-1, ], -1.5, Times[-1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], [Plus[1, ]]], Times[Plus[1, ], Plus[2, ], Power[E, Times[Complex[0, Rational[1, 6]], Pi]], [Plus[2, ]]]], 0], Equal[[0], Times[Power[E, Times[-1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Power[Power[E, Times[Complex[0, Rational[1, 6]], Pi]], Plus[-1, -1.5]], Hypergeometric1F1[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]]], Equal[[1], Times[Power[-1.5, -1], Power[E, Times[-1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Power[Power[E, Times[Complex[0, Rational[1, 6]], Pi]], Plus[-2, -1.5]], Plus[Times[-1, -1.5, Hypergeometric1F1[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Times[Power[-1.5, 2], Hypergeometric1F1[-1.5, -1.5, Pow<syntaxhighlight lang=mathematica>Result: Plus[Complex[6.187184335382289, 6.187184335382291], Times[2.0, DifferenceRoot[Function[{, }
Test Values: {Equal[Plus[Times[Plus[1, , Times[-1, -1.5]], []], Times[-1, Plus[1, ], Plus[-2, Times[-1, ], -1.5, Times[-1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], [Plus[1, ]]], Times[Plus[1, ], Plus[2, ], Power[E, Times[Complex[0, Rational[1, 6]], Pi]], [Plus[2, ]]]], 0], Equal[[0], Times[Power[E, Times[-1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Power[Power[E, Times[Complex[0, Rational[1, 6]], Pi]], Plus[-1, -1.5]], Hypergeometric1F1[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]]], Equal[[1], Times[Power[-1.5, -1], Power[E, Times[-1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Power[Power[E, Times[Complex[0, Rational[1, 6]], Pi]], Plus[-2, -1.5]], Plus[Times[-1, -1.5, Hypergeometric1F1[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Times[Power[-1.5, 2], Hypergeometric1F1[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Times[-1, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]], Hypergeometric1F1[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Times[-1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]], Hypergeometric1F1[Plus[1, -1.5], Plus[1, -1.5], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]]]]]}]][2.0]]], {Rule[a, -1.5], Rule[b, -1.5], Rule[n, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
13.3.E22 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\KummerconfhyperU@{a}{b}{z} = -a\KummerconfhyperU@{a+1}{b+1}{z}}
\deriv{}{z}\KummerconfhyperU@{a}{b}{z} = -a\KummerconfhyperU@{a+1}{b+1}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(KummerU(a, b, z), z) = - a*KummerU(a + 1, b + 1, z)
 
D[HypergeometricU[a, b, z], z] == - a*HypergeometricU[a + 1, b + 1, z]
 Successful Successful - Successful [Tested: 252]
13.3.E23 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv[n]{}{z}\KummerconfhyperU@{a}{b}{z} = (-1)^{n}\Pochhammersym{a}{n}\KummerconfhyperU@{a+n}{b+n}{z}}
\deriv[n]{}{z}\KummerconfhyperU@{a}{b}{z} = (-1)^{n}\Pochhammersym{a}{n}\KummerconfhyperU@{a+n}{b+n}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(KummerU(a, b, z), [z$(n)]) = (- 1)^(n)* pochhammer(a, n)*KummerU(a + n, b + n, z)
 
D[HypergeometricU[a, b, z], {z, n}] == (- 1)^(n)* Pochhammer[a, n]*HypergeometricU[a + n, b + n, z]
 Failure Successful Error Successful [Tested: 300]
13.3.E24 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \left(z\deriv{}{z}z\right)^{n}\left(z^{a-1}\KummerconfhyperU@{a}{b}{z}\right) = \Pochhammersym{a}{n}\Pochhammersym{a-b+1}{n}z^{a+n-1}\KummerconfhyperU@{a+n}{b}{z}}
\left(z\deriv{}{z}z\right)^{n}\left(z^{a-1}\KummerconfhyperU@{a}{b}{z}\right) = \Pochhammersym{a}{n}\Pochhammersym{a-b+1}{n}z^{a+n-1}\KummerconfhyperU@{a+n}{b}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(z*diff(z, z))^(n)*((z)^(a - 1)* KummerU(a, b, z)) = pochhammer(a, n)*pochhammer(a - b + 1, n)*(z)^(a + n - 1)* KummerU(a + n, b, z)
 
(z*D[z, z])^(n)*((z)^(a - 1)* HypergeometricU[a, b, z]) == Pochhammer[a, n]*Pochhammer[a - b + 1, n]*(z)^(a + n - 1)* HypergeometricU[a + n, b, z]
 Failure Failure
Failed [295 / 300]
Result: 4.557501915-2.807038782*I
Test Values: {a = -3/2, b = -3/2, z = 1/2*3^(1/2)+1/2*I, n = 1}

Result: 2.124956377+.5363245788*I
Test Values: {a = -3/2, b = -3/2, z = 1/2*3^(1/2)+1/2*I, n = 2}

... skip entries to safe data
Failed [295 / 300]
Result: Complex[4.557501914022213, -2.807038783226017]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[n, 1], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[2.124956376243804, 0.5363245787128816]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[n, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
13.3.E25 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv[n]{}{z}\left(z^{b-1}\KummerconfhyperU@{a}{b}{z}\right) = (-1)^{n}\Pochhammersym{a-b+1}{n}z^{b-n-1}\KummerconfhyperU@{a}{b-n}{z}}
\deriv[n]{}{z}\left(z^{b-1}\KummerconfhyperU@{a}{b}{z}\right) = (-1)^{n}\Pochhammersym{a-b+1}{n}z^{b-n-1}\KummerconfhyperU@{a}{b-n}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff((z)^(b - 1)* KummerU(a, b, z), [z$(n)]) = (- 1)^(n)* pochhammer(a - b + 1, n)*(z)^(b - n - 1)* KummerU(a, b - n, z)
 
D[(z)^(b - 1)* HypergeometricU[a, b, z], {z, n}] == (- 1)^(n)* Pochhammer[a - b + 1, n]*(z)^(b - n - 1)* HypergeometricU[a, b - n, z]
 Failure Aborted Error
Failed [300 / 300]
Result: Plus[Complex[-0.1522159386707833, -5.3504318269524465], Times[Complex[-0.2588190451025206, -0.9659258262890682], DifferenceRoot[Function[{, }
Test Values: {Equal[Plus[Times[Plus[, -1.5], Plus[-1, Times[-1, ], 1], Plus[Times[-1, ], 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]], []], Times[-1, Plus[-1, Times[-1, ], 1], Plus[Power[, 2], Power[, 3], Times[2, , -1.5], Times[2, Power[, 2], -1.5], Power[-1.5, 2], Times[, Power[-1.5, 2]], Times[-1, , 1], Times[-1, Power[, 2], 1], Times[-1, -1.5, 1], Times[-1, , -1.5, 1], Times[-1, , Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-2, Power[, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, , -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, , -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[2, , 1, Pow<syntaxhighlight lang=mathematica>Result: Plus[Complex[9.411642901699432, 13.489513219804685], Times[Complex[-1.4142135623730947, -1.414213562373095], DifferenceRoot[Function[{, }
Test Values: {Equal[Plus[Times[Plus[, -1.5], Plus[-1, Times[-1, ], 2], Plus[Times[-1, ], 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]], []], Times[-1, Plus[-1, Times[-1, ], 2], Plus[Power[, 2], Power[, 3], Times[2, , -1.5], Times[2, Power[, 2], -1.5], Power[-1.5, 2], Times[, Power[-1.5, 2]], Times[-1, , 2], Times[-1, Power[, 2], 2], Times[-1, -1.5, 2], Times[-1, , -1.5, 2], Times[-1, , Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-2, Power[, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, , -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, , -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[2, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[2, , 2, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1.5, 2, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], [Plus[1, ]]], Times[Plus[1, ], Plus[, -1.5, Times[-1, 2]], Plus[-2, Times[-4, ], Times[-2, Power[, 2]], Times[-3, -1.5], Times[-2, , -1.5], Times[2, 2], Times[2, , 2], Times[-1.5, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]], Times[, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, 2, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], [Plus[2, ]]], Times[Plus[1, ], Plus[2, ], Plus[, -1.5, Times[-1, 2]], Plus[1, , -1.5, Times[-1, 2]], [Plus[3, ]]]], 0], Equal[[0], 0], Equal[[1], Times[Binomial[Plus[-1, -1.5], 2], HypergeometricU[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]]], Equal[[2], Times[Binomial[Plus[-1, -1.5], 2], Plus[HypergeometricU[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, -1.5, Power[Plus[-1.5, Times[-1, 2]], -1], 2, Power[E, Times[Complex[0, Rational[1, 6]], Pi]], HypergeometricU[Plus[1, -1.5], Plus[1, -1.5], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]]]]]}]][3.0]]], {Rule[a, -1.5], Rule[b, -1.5], Rule[n, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
13.3.E26 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \left(z\deriv{}{z}z\right)^{n}\left(z^{b-a-1}e^{-z}\KummerconfhyperU@{a}{b}{z}\right) = (-1)^{n}z^{b-a+n-1}e^{-z}\KummerconfhyperU@{a-n}{b}{z}}
\left(z\deriv{}{z}z\right)^{n}\left(z^{b-a-1}e^{-z}\KummerconfhyperU@{a}{b}{z}\right) = (-1)^{n}z^{b-a+n-1}e^{-z}\KummerconfhyperU@{a-n}{b}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(z*diff(z, z))^(n)*((z)^(b - a - 1)* exp(- z)*KummerU(a, b, z)) = (- 1)^(n)* (z)^(b - a + n - 1)* exp(- z)*KummerU(a - n, b, z)
 
(z*D[z, z])^(n)*((z)^(b - a - 1)* Exp[- z]*HypergeometricU[a, b, z]) == (- 1)^(n)* (z)^(b - a + n - 1)* Exp[- z]*HypergeometricU[a - n, b, z]
 Failure Failure
Failed [298 / 300]
Result: 1.496936093+.1242553737*I
Test Values: {a = -3/2, b = -3/2, z = 1/2*3^(1/2)+1/2*I, n = 1}

Result: 1.600796058+1.474329192*I
Test Values: {a = -3/2, b = -3/2, z = 1/2*3^(1/2)+1/2*I, n = 2}

... skip entries to safe data
Failed [298 / 300]
Result: Complex[1.4969360926980415, 0.12425537363460365]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[n, 1], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[1.6007960572551263, 1.4743291911897365]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[n, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
13.3.E27 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv[n]{}{z}\left(e^{-z}\KummerconfhyperU@{a}{b}{z}\right) = (-1)^{n}e^{-z}\KummerconfhyperU@{a}{b+n}{z}}
\deriv[n]{}{z}\left(e^{-z}\KummerconfhyperU@{a}{b}{z}\right) = (-1)^{n}e^{-z}\KummerconfhyperU@{a}{b+n}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(exp(- z)*KummerU(a, b, z), [z$(n)]) = (- 1)^(n)* exp(- z)*KummerU(a, b + n, z)
 
D[Exp[- z]*HypergeometricU[a, b, z], {z, n}] == (- 1)^(n)* Exp[- z]*HypergeometricU[a, b + n, z]
 Failure Failure Error
Failed [300 / 300]
Result: Plus[Complex[0.40360579036441874, 0.11842116492450602], Times[Complex[-0.36912880004696536, 0.20165598253870784], DifferenceRoot[Function[{, }
Test Values: {Equal[Plus[Times[Plus[, -1.5], Plus[-1, Times[-1, ], 1], Plus[Times[-1, ], 1], []], Times[Plus[-1, Times[-1, ], 1], Plus[, Times[2, Power[, 2]], Times[, -1.5], -1.5, Times[, -1.5], Times[-1, , 1], Times[-1, -1.5, 1], Times[-1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, , Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], [Plus[1, ]]], Times[-1, Plus[1, ], Plus[Times[-1, ], Times[-1, Power[, 2]], Times[-1, -1.5], Times[-1, , -1.5], Times[, 1], Times[-1.5, 1], Times[3, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[2, , Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, 1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], [Plus[2, ]]], Times[Plus[1, ], Plus[2, ], Power[E, Times[Complex[0, Rational[1, 6]], Pi]], [Plus[3, ]]]], 0],<syntaxhighlight lang=mathematica>Result: Plus[Complex[0.20950938468408564, -0.2672919019422666], Times[Complex[0.7382576000939307, -0.4033119650774157], DifferenceRoot[Function[{, }
Test Values: {Equal[Plus[Times[Plus[, -1.5], Plus[-1, Times[-1, ], 2], Plus[Times[-1, ], 2], []], Times[Plus[-1, Times[-1, ], 2], Plus[, Times[2, Power[, 2]], Times[, -1.5], -1.5, Times[, -1.5], Times[-1, , 2], Times[-1, -1.5, 2], Times[-1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, , Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], [Plus[1, ]]], Times[-1, Plus[1, ], Plus[Times[-1, ], Times[-1, Power[, 2]], Times[-1, -1.5], Times[-1, , -1.5], Times[, 2], Times[-1.5, 2], Times[3, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[2, , Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, 2, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], [Plus[2, ]]], Times[Plus[1, ], Plus[2, ], Power[E, Times[Complex[0, Rational[1, 6]], Pi]], [Plus[3, ]]]], 0], Equal[[0], 0], Equal[[1], Times[Power[Factorial[2], -1], HypergeometricU[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]]], Equal[[2], Times[Power[Factorial[2], -1], Plus[HypergeometricU[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1.5, 2, HypergeometricU[Plus[1, -1.5], Plus[1, -1.5], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]]]]]}]][3.0]]], {Rule[a, -1.5], Rule[b, -1.5], Rule[n, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
13.3.E28 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv[n]{}{z}\left(z^{b-1}e^{-z}\KummerconfhyperU@{a}{b}{z}\right) = (-1)^{n}z^{b-n-1}e^{-z}\KummerconfhyperU@{a-n}{b-n}{z}}
\deriv[n]{}{z}\left(z^{b-1}e^{-z}\KummerconfhyperU@{a}{b}{z}\right) = (-1)^{n}z^{b-n-1}e^{-z}\KummerconfhyperU@{a-n}{b-n}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff((z)^(b - 1)* exp(- z)*KummerU(a, b, z), [z$(n)]) = (- 1)^(n)* (z)^(b - n - 1)* exp(- z)*KummerU(a - n, b - n, z)
 
D[(z)^(b - 1)* Exp[- z]*HypergeometricU[a, b, z], {z, n}] == (- 1)^(n)* (z)^(b - n - 1)* Exp[- z]*HypergeometricU[a - n, b - n, z]
 Failure Aborted Error
Failed [300 / 300]
Result: Plus[Complex[-0.9968056293665363, -3.1564168178949528], DifferenceRoot[Function[{, }
Test Values: {Equal[Plus[Times[Plus[1, , Times[-1, -1.5]], []], Times[-1, Plus[1, ], Plus[-2, Times[-1, ], -1.5, Times[-1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], [Plus[1, ]]], Times[Plus[1, ], Plus[2, ], Power[E, Times[Complex[0, Rational[1, 6]], Pi]], [Plus[2, ]]]], 0], Equal[[0], Times[Power[E, Times[-1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Power[Power[E, Times[Complex[0, Rational[1, 6]], Pi]], Plus[-1, -1.5]], HypergeometricU[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]]], Equal[[1], Times[-1, Power[E, Times[-1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Power[Power[E, Times[Complex[0, Rational[1, 6]], Pi]], Plus[-2, -1.5]], Plus[HypergeometricU[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, -1.5, HypergeometricU[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi<syntaxhighlight lang=mathematica>Result: Plus[Complex[8.32628899631003, 8.182173774638818], Times[2.0, DifferenceRoot[Function[{, }
Test Values: {Equal[Plus[Times[Plus[1, , Times[-1, -1.5]], []], Times[-1, Plus[1, ], Plus[-2, Times[-1, ], -1.5, Times[-1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], [Plus[1, ]]], Times[Plus[1, ], Plus[2, ], Power[E, Times[Complex[0, Rational[1, 6]], Pi]], [Plus[2, ]]]], 0], Equal[[0], Times[Power[E, Times[-1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Power[Power[E, Times[Complex[0, Rational[1, 6]], Pi]], Plus[-1, -1.5]], HypergeometricU[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]]], Equal[[1], Times[-1, Power[E, Times[-1, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Power[Power[E, Times[Complex[0, Rational[1, 6]], Pi]], Plus[-2, -1.5]], Plus[HypergeometricU[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Times[-1, -1.5, HypergeometricU[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Times[Power[E, Times[Complex[0, Rational[1, 6]], Pi]], HypergeometricU[-1.5, -1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Times[-1.5, Power[E, Times[Complex[0, Rational[1, 6]], Pi]], HypergeometricU[Plus[1, -1.5], Plus[1, -1.5], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]]]]]}]][2.0]]], {Rule[a, -1.5], Rule[b, -1.5], Rule[n, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
13.3.E29 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \left(z\deriv{}{z}z\right)^{n} = z^{n}\deriv[n]{}{z}z^{n}}
\left(z\deriv{}{z}z\right)^{n} = z^{n}\deriv[n]{}{z}z^{n}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(z*diff(z, z))^(n) = (z)^(n)* diff((z)^(n), [z$(n)])
 
(z*D[z, z])^(n) == (z)^(n)* D[(z)^(n), {z, n}]
 Failure Failure
Failed [7 / 7]
Result: -.1616869430e-8-5.000000005*I
Test Values: {z = 1/2*3^(1/2)+1/2*I, n = 3}

Result: -5.000000005+.1616869430e-8*I
Test Values: {z = -1/2+1/2*I*3^(1/2), n = 3}

... skip entries to safe data
Failed [7 / 7]
Result: Complex[0.0, -5.0]
Test Values: {Rule[n, 3], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: -5.0
Test Values: {Rule[n, 3], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.4.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \OlverconfhyperM@{a}{b}{z} = \frac{1}{\EulerGamma@{a}\EulerGamma@{b-a}}\int_{0}^{1}e^{zt}t^{a-1}(1-t)^{b-a-1}\diff{t}}
\OlverconfhyperM@{a}{b}{z} = \frac{1}{\EulerGamma@{a}\EulerGamma@{b-a}}\int_{0}^{1}e^{zt}t^{a-1}(1-t)^{b-a-1}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{b} > \realpart@@{a}, \realpart@@{a} > 0, \realpart@@{(b-a)} > 0, \realpart@@{(b+s)} > 0} 
KummerM(a, b, z)/GAMMA(b) = (1)/(GAMMA(a)*GAMMA(b - a))*int(exp(z*t)*(t)^(a - 1)*(1 - t)^(b - a - 1), t = 0..1)
 
Hypergeometric1F1Regularized[a, b, z] == Divide[1,Gamma[a]*Gamma[b - a]]*Integrate[Exp[z*t]*(t)^(a - 1)*(1 - t)^(b - a - 1), {t, 0, 1}, GenerateConditions->None]
 Successful Successful - Successful [Tested: 21]
13.4.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \OlverconfhyperM@{a}{b}{z} = \frac{1}{\EulerGamma@{b-c}}\int_{0}^{1}\OlverconfhyperM@{a}{c}{zt}t^{c-1}(1-t)^{b-c-1}\diff{t}}
\OlverconfhyperM@{a}{b}{z} = \frac{1}{\EulerGamma@{b-c}}\int_{0}^{1}\OlverconfhyperM@{a}{c}{zt}t^{c-1}(1-t)^{b-c-1}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{b} > \realpart@@{c}, \realpart@@{c} > 0, \realpart@@{(b-c)} > 0, \realpart@@{(b+s)} > 0, \realpart@@{(c+s)} > 0} 
KummerM(a, b, z)/GAMMA(b) = (1)/(GAMMA(b - c))*int(KummerM(a, c, z*t)/GAMMA(c)*(t)^(c - 1)*(1 - t)^(b - c - 1), t = 0..1)
 
Hypergeometric1F1Regularized[a, b, z] == Divide[1,Gamma[b - c]]*Integrate[Hypergeometric1F1Regularized[a, c, z*t]*(t)^(c - 1)*(1 - t)^(b - c - 1), {t, 0, 1}, GenerateConditions->None]
 Successful Successful - Successful [Tested: 126]
13.4.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \OlverconfhyperM@{a}{b}{-z} = \frac{z^{\frac{1}{2}-\frac{1}{2}b}}{\EulerGamma@{a}}\int_{0}^{\infty}e^{-t}t^{a-\frac{1}{2}b-\frac{1}{2}}\BesselJ{b-1}@{2\sqrt{zt}}\diff{t}}
\OlverconfhyperM@{a}{b}{-z} = \frac{z^{\frac{1}{2}-\frac{1}{2}b}}{\EulerGamma@{a}}\int_{0}^{\infty}e^{-t}t^{a-\frac{1}{2}b-\frac{1}{2}}\BesselJ{b-1}@{2\sqrt{zt}}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{a} > 0, \realpart@@{((b-1)+k+1)} > 0, \realpart@@{(b+s)} > 0} 
KummerM(a, b, - z)/GAMMA(b) = ((z)^((1)/(2)-(1)/(2)*b))/(GAMMA(a))*int(exp(- t)*(t)^(a -(1)/(2)*b -(1)/(2))* BesselJ(b - 1, 2*sqrt(z*t)), t = 0..infinity)
 
Hypergeometric1F1Regularized[a, b, - z] == Divide[(z)^(Divide[1,2]-Divide[1,2]*b),Gamma[a]]*Integrate[Exp[- t]*(t)^(a -Divide[1,2]*b -Divide[1,2])* BesselJ[b - 1, 2*Sqrt[z*t]], {t, 0, Infinity}, GenerateConditions->None]
 Failure Aborted Error Skipped - Because timed out
13.4.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{b}{z} = \frac{1}{\EulerGamma@{a}}\int_{0}^{\infty}e^{-zt}t^{a-1}(1+t)^{b-a-1}\diff{t}}
\KummerconfhyperU@{a}{b}{z} = \frac{1}{\EulerGamma@{a}}\int_{0}^{\infty}e^{-zt}t^{a-1}(1+t)^{b-a-1}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{a} > 0, |\phase{z}| < \frac{1}{2}\pi} 
KummerU(a, b, z) = (1)/(GAMMA(a))*int(exp(- z*t)*(t)^(a - 1)*(1 + t)^(b - a - 1), t = 0..infinity)
 
HypergeometricU[a, b, z] == Divide[1,Gamma[a]]*Integrate[Exp[- z*t]*(t)^(a - 1)*(1 + t)^(b - a - 1), {t, 0, Infinity}, GenerateConditions->None]
 Successful Successful - Successful [Tested: 90]
13.4.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{b}{z} = \frac{z^{1-a}}{\EulerGamma@{a}\EulerGamma@{1+a-b}}\int_{0}^{\infty}\frac{\KummerconfhyperU@{b-a}{b}{t}e^{-t}t^{a-1}}{t+z}\diff{t}}
\KummerconfhyperU@{a}{b}{z} = \frac{z^{1-a}}{\EulerGamma@{a}\EulerGamma@{1+a-b}}\int_{0}^{\infty}\frac{\KummerconfhyperU@{b-a}{b}{t}e^{-t}t^{a-1}}{t+z}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase{z}| < \pi, \realpart@@{a} > \max\left(\realpart@@{b-1}, \realpart@@{a} > 0, \realpart@@{(1+a-b)} > 0} 
KummerU(a, b, z) = ((z)^(1 - a))/(GAMMA(a)*GAMMA(1 + a - b))*int((KummerU(b - a, b, t)*exp(- t)*(t)^(a - 1))/(t + z), t = 0..infinity)
 
HypergeometricU[a, b, z] == Divide[(z)^(1 - a),Gamma[a]*Gamma[1 + a - b]]*Integrate[Divide[HypergeometricU[b - a, b, t]*Exp[- t]*(t)^(a - 1),t + z], {t, 0, Infinity}, GenerateConditions->None]
 Failure Aborted Skipped - Because timed out Skipped - Because timed out
13.4.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{b}{z} = \frac{(-1)^{n}z^{1-b-n}}{\EulerGamma@{1+a-b}}\int_{0}^{\infty}\frac{\OlverconfhyperM@{b-a}{b}{t}e^{-t}t^{b+n-1}}{t+z}\diff{t}}
\KummerconfhyperU@{a}{b}{z} = \frac{(-1)^{n}z^{1-b-n}}{\EulerGamma@{1+a-b}}\int_{0}^{\infty}\frac{\OlverconfhyperM@{b-a}{b}{t}e^{-t}t^{b+n-1}}{t+z}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \abs{\phase@@{z}} < \pi, -\realpart@@{b} < n, n < 1+\realpart@{a-b}, \realpart@@{(1+a-b)} > 0, \realpart@@{(b+s)} > 0} 
KummerU(a, b, z) = ((- 1)^(n)* (z)^(1 - b - n))/(GAMMA(1 + a - b))*int((KummerM(b - a, b, t)/GAMMA(b)*exp(- t)*(t)^(b + n - 1))/(t + z), t = 0..infinity)
 
HypergeometricU[a, b, z] == Divide[(- 1)^(n)* (z)^(1 - b - n),Gamma[1 + a - b]]*Integrate[Divide[Hypergeometric1F1Regularized[b - a, b, t]*Exp[- t]*(t)^(b + n - 1),t + z], {t, 0, Infinity}, GenerateConditions->None]
 Failure Aborted Skipped - Because timed out Skipped - Because timed out
13.4.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{b}{z} = \frac{2z^{\frac{1}{2}-\frac{1}{2}b}}{\EulerGamma@{a}\EulerGamma@{a-b+1}}\*\int_{0}^{\infty}e^{-t}t^{a-\frac{1}{2}b-\frac{1}{2}}\modBesselK{b-1}@{2\sqrt{zt}}\diff{t}}
\KummerconfhyperU@{a}{b}{z} = \frac{2z^{\frac{1}{2}-\frac{1}{2}b}}{\EulerGamma@{a}\EulerGamma@{a-b+1}}\*\int_{0}^{\infty}e^{-t}t^{a-\frac{1}{2}b-\frac{1}{2}}\modBesselK{b-1}@{2\sqrt{zt}}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{a} > \max\left(\realpart@@{b-1}, \realpart@@{a} > 0, \realpart@@{(a-b+1)} > 0} 
KummerU(a, b, z) = (2*(z)^((1)/(2)-(1)/(2)*b))/(GAMMA(a)*GAMMA(a - b + 1))* int(exp(- t)*(t)^(a -(1)/(2)*b -(1)/(2))* BesselK(b - 1, 2*sqrt(z*t)), t = 0..infinity)
 
HypergeometricU[a, b, z] == Divide[2*(z)^(Divide[1,2]-Divide[1,2]*b),Gamma[a]*Gamma[a - b + 1]]* Integrate[Exp[- t]*(t)^(a -Divide[1,2]*b -Divide[1,2])* BesselK[b - 1, 2*Sqrt[z*t]], {t, 0, Infinity}, GenerateConditions->None]
 Successful Aborted - Skipped - Because timed out
13.4.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{b}{z} = z^{c-a}\*\int_{0}^{\infty}e^{-zt}t^{c-1}\genhyperOlverF{2}{1}@{a,a-b+1}{c}{-t}\diff{t}}
\KummerconfhyperU@{a}{b}{z} = z^{c-a}\*\int_{0}^{\infty}e^{-zt}t^{c-1}\genhyperOlverF{2}{1}@{a,a-b+1}{c}{-t}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase{z}| < \frac{1}{2}\pi} 
KummerU(a, b, z) = (z)^(c - a)* int(exp(- z*t)*(t)^(c - 1)* hypergeom([a , a - b + 1], [c], - t), t = 0..infinity)
 
HypergeometricU[a, b, z] == (z)^(c - a)* Integrate[Exp[- z*t]*(t)^(c - 1)* HypergeometricPFQRegularized[{a , a - b + 1}, {c}, - t], {t, 0, Infinity}, GenerateConditions->None]
 Failure Aborted
Failed [294 / 300]
Result: Float(undefined)+Float(undefined)*I
Test Values: {a = -3/2, b = -3/2, c = -3/2, z = 1/2*3^(1/2)+1/2*I}

Result: Float(undefined)+Float(undefined)*I
Test Values: {a = -3/2, b = -3/2, c = -3/2, z = 1/2-1/2*I*3^(1/2)}

... skip entries to safe data
 Skipped - Because timed out
13.4.E9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \OlverconfhyperM@{a}{b}{z} = \frac{\EulerGamma@{1+a-b}}{2\pi\iunit\EulerGamma@{a}}\int_{0}^{(1+)}e^{zt}t^{a-1}{(t-1)^{b-a-1}}\diff{t}}
\OlverconfhyperM@{a}{b}{z} = \frac{\EulerGamma@{1+a-b}}{2\pi\iunit\EulerGamma@{a}}\int_{0}^{(1+)}e^{zt}t^{a-1}{(t-1)^{b-a-1}}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{a} > 0, \realpart@@{(1+a-b)} > 0, \realpart@@{(b+s)} > 0} 
KummerM(a, b, z)/GAMMA(b) = (GAMMA(1 + a - b))/(2*Pi*I*GAMMA(a))*int(exp(z*t)*(t)^(a - 1)*(t - 1)^(b - a - 1), t = 0..(1 +))
 
Hypergeometric1F1Regularized[a, b, z] == Divide[Gamma[1 + a - b],2*Pi*I*Gamma[a]]*Integrate[Exp[z*t]*(t)^(a - 1)*(t - 1)^(b - a - 1), {t, 0, (1 +)}, GenerateConditions->None]
 Error Failure - Error
13.4.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \OlverconfhyperM@{a}{b}{z} = e^{-a\pi\iunit}\frac{\EulerGamma@{1-a}}{2\pi\iunit\EulerGamma@{b-a}}\int_{1}^{(0+)}e^{zt}t^{a-1}{(1-t)^{b-a-1}}\diff{t}}
\OlverconfhyperM@{a}{b}{z} = e^{-a\pi\iunit}\frac{\EulerGamma@{1-a}}{2\pi\iunit\EulerGamma@{b-a}}\int_{1}^{(0+)}e^{zt}t^{a-1}{(1-t)^{b-a-1}}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@{b-a} > 0, \realpart@@{(1-a)} > 0, \realpart@@{(b-a)} > 0, \realpart@@{(b+s)} > 0} 
KummerM(a, b, z)/GAMMA(b) = exp(- a*Pi*I)*(GAMMA(1 - a))/(2*Pi*I*GAMMA(b - a))*int(exp(z*t)*(t)^(a - 1)*(1 - t)^(b - a - 1), t = 1..(0 +))
 
Hypergeometric1F1Regularized[a, b, z] == Exp[- a*Pi*I]*Divide[Gamma[1 - a],2*Pi*I*Gamma[b - a]]*Integrate[Exp[z*t]*(t)^(a - 1)*(1 - t)^(b - a - 1), {t, 1, (0 +)}, GenerateConditions->None]
 Error Failure - Error
13.4.E11 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \OlverconfhyperM@{a}{b}{z} = e^{-b\pi\iunit}\EulerGamma@{1-a}\EulerGamma@{1+a-b}\*\frac{1}{4\pi^{2}}\int_{\alpha}^{(0+,1+,0-,1-)}e^{zt}t^{a-1}{(1-t)^{b-a-1}}\diff{t}}
\OlverconfhyperM@{a}{b}{z} = e^{-b\pi\iunit}\EulerGamma@{1-a}\EulerGamma@{1+a-b}\*\frac{1}{4\pi^{2}}\int_{\alpha}^{(0+,1+,0-,1-)}e^{zt}t^{a-1}{(1-t)^{b-a-1}}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(1-a)} > 0, \realpart@@{(1+a-b)} > 0, \realpart@@{(b+s)} > 0} 
KummerM(a, b, z)/GAMMA(b) = exp(- b*Pi*I)*GAMMA(1 - a)*GAMMA(1 + a - b)*(1)/(4*(Pi)^(2))*int(exp(z*t)*(t)^(a - 1)*(1 - t)^(b - a - 1), t = alpha..(0 + , 1 + , 0 - , 1 -))
 
Hypergeometric1F1Regularized[a, b, z] == Exp[- b*Pi*I]*Gamma[1 - a]*Gamma[1 + a - b]*Divide[1,4*(Pi)^(2)]*Integrate[Exp[z*t]*(t)^(a - 1)*(1 - t)^(b - a - 1), {t, \[Alpha], (0 + , 1 + , 0 - , 1 -)}, GenerateConditions->None]
 Error Failure - Error
13.4.E12 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \OlverconfhyperM@{a}{c}{z} = \frac{\EulerGamma@{b}}{2\pi\iunit}z^{1-b}\int_{-\infty}^{(0+,1+)}e^{zt}t^{-b}\genhyperOlverF{2}{1}@{a,b}{c}{\ifrac{1}{t}}\diff{t}}
\OlverconfhyperM@{a}{c}{z} = \frac{\EulerGamma@{b}}{2\pi\iunit}z^{1-b}\int_{-\infty}^{(0+,1+)}e^{zt}t^{-b}\genhyperOlverF{2}{1}@{a,b}{c}{\ifrac{1}{t}}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \abs{\phase@@{z}} < \frac{1}{2}\pi, \realpart@@{b} > 0, \realpart@@{(c+s)} > 0} 
KummerM(a, c, z)/GAMMA(c) = (GAMMA(b))/(2*Pi*I)*(z)^(1 - b)* int(exp(z*t)*(t)^(- b)* hypergeom([a , b], [c], (1)/(t)), t = - infinity..(0 + , 1 +))
 
Hypergeometric1F1Regularized[a, c, z] == Divide[Gamma[b],2*Pi*I]*(z)^(1 - b)* Integrate[Exp[z*t]*(t)^(- b)* HypergeometricPFQRegularized[{a , b}, {c}, Divide[1,t]], {t, - Infinity, (0 + , 1 +)}, GenerateConditions->None]
 Error Failure - Error
13.4.E13 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \OlverconfhyperM@{a}{b}{z} = \frac{z^{1-b}}{2\pi\iunit}\int_{-\infty}^{(0+,1+)}e^{zt}t^{-b}\!\left(1-\frac{1}{t}\right)^{-a}\diff{t}}
\OlverconfhyperM@{a}{b}{z} = \frac{z^{1-b}}{2\pi\iunit}\int_{-\infty}^{(0+,1+)}e^{zt}t^{-b}\!\left(1-\frac{1}{t}\right)^{-a}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase{z}| < \frac{1}{2}\pi, \realpart@@{(b+s)} > 0} 
KummerM(a, b, z)/GAMMA(b) = ((z)^(1 - b))/(2*Pi*I)*int(exp(z*t)*(t)^(- b)*(1 -(1)/(t))^(- a), t = - infinity..(0 + , 1 +))
 
Hypergeometric1F1Regularized[a, b, z] == Divide[(z)^(1 - b),2*Pi*I]*Integrate[Exp[z*t]*(t)^(- b)*(1 -Divide[1,t])^(- a), {t, - Infinity, (0 + , 1 +)}, GenerateConditions->None]
 Error Failure - Error
13.4.E14 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{b}{z} = e^{-a\pi\iunit}\frac{\EulerGamma@{1-a}}{2\pi\iunit}\int_{\infty}^{(0+)}e^{-zt}t^{a-1}{(1+t)^{b-a-1}}\diff{t}}
\KummerconfhyperU@{a}{b}{z} = e^{-a\pi\iunit}\frac{\EulerGamma@{1-a}}{2\pi\iunit}\int_{\infty}^{(0+)}e^{-zt}t^{a-1}{(1+t)^{b-a-1}}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \abs{\phase@@{z}} < \frac{1}{2}\pi, \realpart@@{(1-a)} > 0} 
KummerU(a, b, z) = exp(- a*Pi*I)*(GAMMA(1 - a))/(2*Pi*I)*int(exp(- z*t)*(t)^(a - 1)*(1 + t)^(b - a - 1), t = infinity..(0 +))
 
HypergeometricU[a, b, z] == Exp[- a*Pi*I]*Divide[Gamma[1 - a],2*Pi*I]*Integrate[Exp[- z*t]*(t)^(a - 1)*(1 + t)^(b - a - 1), {t, Infinity, (0 +)}, GenerateConditions->None]
 Error Failure - Error
13.4.E15 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{\KummerconfhyperU@{a}{b}{z}}{\EulerGamma@{c}\EulerGamma@{c-b+1}} = \frac{z^{1-c}}{2\pi\iunit}\int_{-\infty}^{(0+)}e^{zt}t^{-c}\genhyperOlverF{2}{1}@{a,c}{a+c-b+1}{1-\frac{1}{t}}\diff{t}}
\frac{\KummerconfhyperU@{a}{b}{z}}{\EulerGamma@{c}\EulerGamma@{c-b+1}} = \frac{z^{1-c}}{2\pi\iunit}\int_{-\infty}^{(0+)}e^{zt}t^{-c}\genhyperOlverF{2}{1}@{a,c}{a+c-b+1}{1-\frac{1}{t}}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \abs{\phase@@{z}} < \frac{1}{2}\pi, \realpart@@{c} > 0, \realpart@@{(c-b+1)} > 0} 
(KummerU(a, b, z))/(GAMMA(c)*GAMMA(c - b + 1)) = ((z)^(1 - c))/(2*Pi*I)*int(exp(z*t)*(t)^(- c)* hypergeom([a , c], [a + c - b + 1], 1 -(1)/(t)), t = - infinity..(0 +))
 
Divide[HypergeometricU[a, b, z],Gamma[c]*Gamma[c - b + 1]] == Divide[(z)^(1 - c),2*Pi*I]*Integrate[Exp[z*t]*(t)^(- c)* HypergeometricPFQRegularized[{a , c}, {a + c - b + 1}, 1 -Divide[1,t]], {t, - Infinity, (0 +)}, GenerateConditions->None]
 Error Failure - Error
13.4.E16 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \OlverconfhyperM@{a}{b}{-z} = \frac{1}{2\pi\iunit\EulerGamma@{a}}\int_{-\iunit\infty}^{\iunit\infty}\frac{\EulerGamma@{a+t}\EulerGamma@{-t}}{\EulerGamma@{b+t}}z^{t}\diff{t}}
\OlverconfhyperM@{a}{b}{-z} = \frac{1}{2\pi\iunit\EulerGamma@{a}}\int_{-\iunit\infty}^{\iunit\infty}\frac{\EulerGamma@{a+t}\EulerGamma@{-t}}{\EulerGamma@{b+t}}z^{t}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase{z}| < \tfrac{1}{2}\pi, \realpart@@{a} > 0, \realpart@@{(a+t)} > 0, \realpart@@{(-t)} > 0, \realpart@@{(b+t)} > 0, \realpart@@{(b+s)} > 0} 
KummerM(a, b, - z)/GAMMA(b) = (1)/(2*Pi*I*GAMMA(a))*int((GAMMA(a + t)*GAMMA(- t))/(GAMMA(b + t))*(z)^(t), t = - I*infinity..I*infinity)
 
Hypergeometric1F1Regularized[a, b, - z] == Divide[1,2*Pi*I*Gamma[a]]*Integrate[Divide[Gamma[a + t]*Gamma[- t],Gamma[b + t]]*(z)^(t), {t, - I*Infinity, I*Infinity}, GenerateConditions->None]
 Failure Aborted Skipped - Because timed out Skipped - Because timed out
13.4.E17 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{b}{z} = \frac{z^{-a}}{2\pi\iunit}\int_{-\iunit\infty}^{\iunit\infty}\frac{\EulerGamma@{a+t}\EulerGamma@{1+a-b+t}\EulerGamma@{-t}}{\EulerGamma@{a}\EulerGamma@{1+a-b}}z^{-t}\diff{t}}
\KummerconfhyperU@{a}{b}{z} = \frac{z^{-a}}{2\pi\iunit}\int_{-\iunit\infty}^{\iunit\infty}\frac{\EulerGamma@{a+t}\EulerGamma@{1+a-b+t}\EulerGamma@{-t}}{\EulerGamma@{a}\EulerGamma@{1+a-b}}z^{-t}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase{z}| < \tfrac{3}{2}\pi, \realpart@@{(a+t)} > 0, \realpart@@{(1+a-b+t)} > 0, \realpart@@{(-t)} > 0, \realpart@@{a} > 0, \realpart@@{(1+a-b)} > 0} 
KummerU(a, b, z) = ((z)^(- a))/(2*Pi*I)*int((GAMMA(a + t)*GAMMA(1 + a - b + t)*GAMMA(- t))/(GAMMA(a)*GAMMA(1 + a - b))*(z)^(- t), t = - I*infinity..I*infinity)
 
HypergeometricU[a, b, z] == Divide[(z)^(- a),2*Pi*I]*Integrate[Divide[Gamma[a + t]*Gamma[1 + a - b + t]*Gamma[- t],Gamma[a]*Gamma[1 + a - b]]*(z)^(- t), {t, - I*Infinity, I*Infinity}, GenerateConditions->None]
 Failure Aborted Skipped - Because timed out Skipped - Because timed out
13.4.E18 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{b}{z} = \frac{z^{1-b}e^{z}}{2\pi\iunit}\int_{-\iunit\infty}^{\iunit\infty}\frac{\EulerGamma@{b-1+t}\EulerGamma@{t}}{\EulerGamma@{a+t}}z^{-t}\diff{t}}
\KummerconfhyperU@{a}{b}{z} = \frac{z^{1-b}e^{z}}{2\pi\iunit}\int_{-\iunit\infty}^{\iunit\infty}\frac{\EulerGamma@{b-1+t}\EulerGamma@{t}}{\EulerGamma@{a+t}}z^{-t}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase{z}| < \tfrac{1}{2}\pi, \realpart@@{(b-1+t)} > 0, \realpart@@{t} > 0, \realpart@@{(a+t)} > 0} 
KummerU(a, b, z) = ((z)^(1 - b)* exp(z))/(2*Pi*I)*int((GAMMA(b - 1 + t)*GAMMA(t))/(GAMMA(a + t))*(z)^(- t), t = - I*infinity..I*infinity)
 
HypergeometricU[a, b, z] == Divide[(z)^(1 - b)* Exp[z],2*Pi*I]*Integrate[Divide[Gamma[b - 1 + t]*Gamma[t],Gamma[a + t]]*(z)^(- t), {t, - I*Infinity, I*Infinity}, GenerateConditions->None]
 Failure Aborted Skipped - Because timed out Skipped - Because timed out
13.6.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperM@{a}{a}{z} = e^{z}}
\KummerconfhyperM@{a}{a}{z} = e^{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerM(a, a, z) = exp(z)
 
Hypergeometric1F1[a, a, z] == Exp[z]
 Successful Successful - Successful [Tested: 42]
13.6.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperM@{1}{2}{2z} = \frac{e^{z}}{z}\sinh@@{z}}
\KummerconfhyperM@{1}{2}{2z} = \frac{e^{z}}{z}\sinh@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerM(1, 2, 2*z) = (exp(z))/(z)*sinh(z)
 
Hypergeometric1F1[1, 2, 2*z] == Divide[Exp[z],z]*Sinh[z]
 Successful Successful - Successful [Tested: 7]
13.6.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperM@{0}{b}{z} = \KummerconfhyperU@{0}{b}{z}}
\KummerconfhyperM@{0}{b}{z} = \KummerconfhyperU@{0}{b}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerM(0, b, z) = KummerU(0, b, z)
 
Hypergeometric1F1[0, b, z] == HypergeometricU[0, b, z]
 Successful Successful - Successful [Tested: 42]
13.6.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{0}{b}{z} = 1}
\KummerconfhyperU@{0}{b}{z} = 1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU(0, b, z) = 1
 
HypergeometricU[0, b, z] == 1
 Successful Successful - Successful [Tested: 42]
13.6.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{a+1}{z} = z^{-a}}
\KummerconfhyperU@{a}{a+1}{z} = z^{-a}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU(a, a + 1, z) = (z)^(- a)
 
HypergeometricU[a, a + 1, z] == (z)^(- a)
 Failure Successful Successful [Tested: 42] Successful [Tested: 42]
13.6.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperM@{a}{a+1}{-z} = e^{-z}\KummerconfhyperM@{1}{a+1}{z}}
\KummerconfhyperM@{a}{a+1}{-z} = e^{-z}\KummerconfhyperM@{1}{a+1}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerM(a, a + 1, - z) = exp(- z)*KummerM(1, a + 1, z)
 
Hypergeometric1F1[a, a + 1, - z] == Exp[- z]*Hypergeometric1F1[1, a + 1, z]
 Successful Successful Skip - symbolical successful subtest
Failed [7 / 42]
Result: Indeterminate
Test Values: {Rule[a, -2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Indeterminate
Test Values: {Rule[a, -2], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.6.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{-z}\KummerconfhyperM@{1}{a+1}{z} = az^{-a}\incgamma@{a}{z}}
e^{-z}\KummerconfhyperM@{1}{a+1}{z} = az^{-a}\incgamma@{a}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{a} > 0} 
exp(- z)*KummerM(1, a + 1, z) = a*(z)^(- a)* GAMMA(a)-GAMMA(a, z)
 
Exp[- z]*Hypergeometric1F1[1, a + 1, z] == a*(z)^(- a)* Gamma[a, 0, z]
 Failure Successful
Failed [21 / 21]
Result: .1786149082+.5798847761*I
Test Values: {a = 3/2, z = 1/2*3^(1/2)+1/2*I}

Result: 4.103691021-1.156198608*I
Test Values: {a = 3/2, z = -1/2+1/2*I*3^(1/2)}

... skip entries to safe data
 Successful [Tested: 21]
13.6.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{a}{z} = z^{1-a}\KummerconfhyperU@{1}{2-a}{z}}
\KummerconfhyperU@{a}{a}{z} = z^{1-a}\KummerconfhyperU@{1}{2-a}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU(a, a, z) = (z)^(1 - a)* KummerU(1, 2 - a, z)
 
HypergeometricU[a, a, z] == (z)^(1 - a)* HypergeometricU[1, 2 - a, z]
 Successful Successful - Successful [Tested: 42]
13.6.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z^{1-a}\KummerconfhyperU@{1}{2-a}{z} = z^{1-a}e^{z}\genexpintE{a}@{z}}
z^{1-a}\KummerconfhyperU@{1}{2-a}{z} = z^{1-a}e^{z}\genexpintE{a}@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(z)^(1 - a)* KummerU(1, 2 - a, z) = (z)^(1 - a)* exp(z)*Ei(a, z)
 
(z)^(1 - a)* HypergeometricU[1, 2 - a, z] == (z)^(1 - a)* Exp[z]*ExpIntegralE[a, z]
 Successful Successful - Successful [Tested: 42]
13.6.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z^{1-a}e^{z}\genexpintE{a}@{z} = e^{z}\incGamma@{1-a}{z}}
z^{1-a}e^{z}\genexpintE{a}@{z} = e^{z}\incGamma@{1-a}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(z)^(1 - a)* exp(z)*Ei(a, z) = exp(z)*GAMMA(1 - a, z)
 
(z)^(1 - a)* Exp[z]*ExpIntegralE[a, z] == Exp[z]*Gamma[1 - a, z]
 Successful Successful - Successful [Tested: 42]
13.6.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperM@{\tfrac{1}{2}}{\tfrac{3}{2}}{-z^{2}} = \frac{\sqrt{\pi}}{2z}\erf@{z}}
\KummerconfhyperM@{\tfrac{1}{2}}{\tfrac{3}{2}}{-z^{2}} = \frac{\sqrt{\pi}}{2z}\erf@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerM((1)/(2), (3)/(2), - (z)^(2)) = (sqrt(Pi))/(2*z)*erf(z)
 
Hypergeometric1F1[Divide[1,2], Divide[3,2], - (z)^(2)] == Divide[Sqrt[Pi],2*z]*Erf[z]
 Successful Successful - Successful [Tested: 7]
13.6.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{\tfrac{1}{2}}{\tfrac{1}{2}}{z^{2}} = \sqrt{\pi}e^{z^{2}}\erfc@{z}}
\KummerconfhyperU@{\tfrac{1}{2}}{\tfrac{1}{2}}{z^{2}} = \sqrt{\pi}e^{z^{2}}\erfc@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU((1)/(2), (1)/(2), (z)^(2)) = sqrt(Pi)*exp((z)^(2))*erfc(z)
 
HypergeometricU[Divide[1,2], Divide[1,2], (z)^(2)] == Sqrt[Pi]*Exp[(z)^(2)]*Erfc[z]
 Failure Failure
Failed [2 / 7]
Result: .418096912e-1+2.795226389*I
Test Values: {z = -1/2+1/2*I*3^(1/2)}

Result: -2.288685714-4.974950146*I
Test Values: {z = -1/2*3^(1/2)-1/2*I}
Failed [2 / 7]
Result: Complex[0.041809690497868646, 2.7952263885381483]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

Result: Complex[-2.28868571442365, -4.974950145988551]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}

13.6.E9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperM@{\nu+\tfrac{1}{2}}{2\nu+1}{2z} = \EulerGamma@{1+\nu}e^{z}\left(\ifrac{z}{2}\right)^{-\nu}\modBesselI{\nu}@{z}}
\KummerconfhyperM@{\nu+\tfrac{1}{2}}{2\nu+1}{2z} = \EulerGamma@{1+\nu}e^{z}\left(\ifrac{z}{2}\right)^{-\nu}\modBesselI{\nu}@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(1+\nu)} > 0, \realpart@@{(\nu+k+1)} > 0} 
KummerM(nu +(1)/(2), 2*nu + 1, 2*z) = GAMMA(1 + nu)*exp(z)*((z)/(2))^(- nu)* BesselI(nu, z)
 
Hypergeometric1F1[\[Nu]+Divide[1,2], 2*\[Nu]+ 1, 2*z] == Gamma[1 + \[Nu]]*Exp[z]*(Divide[z,2])^(- \[Nu])* BesselI[\[Nu], z]
 Successful Successful -
Failed [7 / 56]
Result: Complex[-1.026957443693084, -2.3780953180269115]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ν, -0.5]}

Result: Complex[0.5295327248436391, -0.1815534052901876]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]], Rule[ν, -0.5]}

... skip entries to safe data
13.6.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{\nu+\tfrac{1}{2}}{2\nu+1}{2z} = \frac{1}{\sqrt{\pi}}e^{z}\left(2z\right)^{-\nu}\modBesselK{\nu}@{z}}
\KummerconfhyperU@{\nu+\tfrac{1}{2}}{2\nu+1}{2z} = \frac{1}{\sqrt{\pi}}e^{z}\left(2z\right)^{-\nu}\modBesselK{\nu}@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU(nu +(1)/(2), 2*nu + 1, 2*z) = (1)/(sqrt(Pi))*exp(z)*(2*z)^(- nu)* BesselK(nu, z)
 
HypergeometricU[\[Nu]+Divide[1,2], 2*\[Nu]+ 1, 2*z] == Divide[1,Sqrt[Pi]]*Exp[z]*(2*z)^(- \[Nu])* BesselK[\[Nu], z]
 Successful Successful - Successful [Tested: 70]
13.6.E11 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{\tfrac{5}{6}}{\tfrac{5}{3}}{\tfrac{4}{3}z^{3/2}} = \sqrt{\pi}\frac{3^{5/6}\exp@{\tfrac{2}{3}z^{3/2}}}{2^{2/3}z}\AiryAi@{z}}
\KummerconfhyperU@{\tfrac{5}{6}}{\tfrac{5}{3}}{\tfrac{4}{3}z^{3/2}} = \sqrt{\pi}\frac{3^{5/6}\exp@{\tfrac{2}{3}z^{3/2}}}{2^{2/3}z}\AiryAi@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU((5)/(6), (5)/(3), (4)/(3)*(z)^(3/2)) = sqrt(Pi)*((3)^(5/6)* exp((2)/(3)*(z)^(3/2)))/((2)^(2/3)* z)*AiryAi(z)
 
HypergeometricU[Divide[5,6], Divide[5,3], Divide[4,3]*(z)^(3/2)] == Sqrt[Pi]*Divide[(3)^(5/6)* Exp[Divide[2,3]*(z)^(3/2)],(2)^(2/3)* z]*AiryAi[z]
 Failure Failure
Failed [1 / 7]
Result: .7957982359-.7292249892*I
Test Values: {z = -1/2*3^(1/2)-1/2*I}
Failed [1 / 7]
Result: Complex[0.7957982355202466, -0.7292249896477329]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}

13.6.E12 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{\tfrac{1}{2}a+\tfrac{1}{4}}{\tfrac{1}{2}}{\tfrac{1}{2}z^{2}} = 2^{\frac{1}{2}a+\frac{1}{4}}e^{\frac{1}{4}z^{2}}\paraU@{a}{z}}
\KummerconfhyperU@{\tfrac{1}{2}a+\tfrac{1}{4}}{\tfrac{1}{2}}{\tfrac{1}{2}z^{2}} = 2^{\frac{1}{2}a+\frac{1}{4}}e^{\frac{1}{4}z^{2}}\paraU@{a}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU((1)/(2)*a +(1)/(4), (1)/(2), (1)/(2)*(z)^(2)) = (2)^((1)/(2)*a +(1)/(4))* exp((1)/(4)*(z)^(2))*CylinderU(a, z)
 
HypergeometricU[Divide[1,2]*a +Divide[1,4], Divide[1,2], Divide[1,2]*(z)^(2)] == (2)^(Divide[1,2]*a +Divide[1,4])* Exp[Divide[1,4]*(z)^(2)]*ParabolicCylinderD[- 1/2 -(a), z]
 Failure Failure
Failed [10 / 42]
Result: .7071067808-1.224744871*I
Test Values: {a = -3/2, z = -1/2+1/2*I*3^(1/2)}

Result: 1.224744871+.7071067810*I
Test Values: {a = -3/2, z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [10 / 42]
Result: Complex[0.7071067811865475, -1.224744871391589]
Test Values: {Rule[a, -1.5], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

Result: Complex[1.224744871391589, 0.7071067811865475]
Test Values: {Rule[a, -1.5], Rule[z, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}

... skip entries to safe data
13.6.E13 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{\tfrac{1}{2}a+\tfrac{3}{4}}{\tfrac{3}{2}}{\tfrac{1}{2}z^{2}} = 2^{\frac{1}{2}a+\frac{3}{4}}\frac{e^{\frac{1}{4}z^{2}}}{z}\paraU@{a}{z}}
\KummerconfhyperU@{\tfrac{1}{2}a+\tfrac{3}{4}}{\tfrac{3}{2}}{\tfrac{1}{2}z^{2}} = 2^{\frac{1}{2}a+\frac{3}{4}}\frac{e^{\frac{1}{4}z^{2}}}{z}\paraU@{a}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU((1)/(2)*a +(3)/(4), (3)/(2), (1)/(2)*(z)^(2)) = (2)^((1)/(2)*a +(3)/(4))*(exp((1)/(4)*(z)^(2)))/(z)*CylinderU(a, z)
 
HypergeometricU[Divide[1,2]*a +Divide[3,4], Divide[3,2], Divide[1,2]*(z)^(2)] == (2)^(Divide[1,2]*a +Divide[3,4])*Divide[Exp[Divide[1,4]*(z)^(2)],z]*ParabolicCylinderD[- 1/2 -(a), z]
 Failure Failure
Failed [10 / 42]
Result: 3.981039608+.280376847*I
Test Values: {a = 3/2, z = -1/2+1/2*I*3^(1/2)}

Result: 9.425210776+2.041008108*I
Test Values: {a = 3/2, z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [10 / 42]
Result: Complex[3.9810396073031904, 0.2803768494018799]
Test Values: {Rule[a, 1.5], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

Result: Complex[9.42521077642933, 2.0410081046172346]
Test Values: {Rule[a, 1.5], Rule[z, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}

... skip entries to safe data
13.6.E14 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperM@{\tfrac{1}{2}a+\tfrac{1}{4}}{\tfrac{1}{2}}{\tfrac{1}{2}z^{2}} = \frac{2^{\frac{1}{2}a-\frac{3}{4}}\EulerGamma@{\tfrac{1}{2}a+\tfrac{3}{4}}e^{\frac{1}{4}z^{2}}}{\sqrt{\pi}}\*\left(\paraU@{a}{z}+\paraU@{a}{-z}\right)}
\KummerconfhyperM@{\tfrac{1}{2}a+\tfrac{1}{4}}{\tfrac{1}{2}}{\tfrac{1}{2}z^{2}} = \frac{2^{\frac{1}{2}a-\frac{3}{4}}\EulerGamma@{\tfrac{1}{2}a+\tfrac{3}{4}}e^{\frac{1}{4}z^{2}}}{\sqrt{\pi}}\*\left(\paraU@{a}{z}+\paraU@{a}{-z}\right)		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(\tfrac{1}{2}a+\tfrac{3}{4})} > 0} 
KummerM((1)/(2)*a +(1)/(4), (1)/(2), (1)/(2)*(z)^(2)) = ((2)^((1)/(2)*a -(3)/(4))* GAMMA((1)/(2)*a +(3)/(4))*exp((1)/(4)*(z)^(2)))/(sqrt(Pi))*(CylinderU(a, z)+ CylinderU(a, - z))
 
Hypergeometric1F1[Divide[1,2]*a +Divide[1,4], Divide[1,2], Divide[1,2]*(z)^(2)] == Divide[(2)^(Divide[1,2]*a -Divide[3,4])* Gamma[Divide[1,2]*a +Divide[3,4]]*Exp[Divide[1,4]*(z)^(2)],Sqrt[Pi]]*(ParabolicCylinderD[- 1/2 -(a), z]+ ParabolicCylinderD[- 1/2 -(a), - z])
 Successful Successful - Successful [Tested: 28]
13.6.E15 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperM@{\tfrac{1}{2}a+\tfrac{3}{4}}{\tfrac{3}{2}}{\tfrac{1}{2}z^{2}} = \frac{2^{\frac{1}{2}a-\frac{5}{4}}\EulerGamma@{\tfrac{1}{2}a+\tfrac{1}{4}}e^{\frac{1}{4}z^{2}}}{z\sqrt{\pi}}\*\left(\paraU@{a}{-z}-\paraU@{a}{z}\right)}
\KummerconfhyperM@{\tfrac{1}{2}a+\tfrac{3}{4}}{\tfrac{3}{2}}{\tfrac{1}{2}z^{2}} = \frac{2^{\frac{1}{2}a-\frac{5}{4}}\EulerGamma@{\tfrac{1}{2}a+\tfrac{1}{4}}e^{\frac{1}{4}z^{2}}}{z\sqrt{\pi}}\*\left(\paraU@{a}{-z}-\paraU@{a}{z}\right)		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(\tfrac{1}{2}a+\tfrac{1}{4})} > 0} 
KummerM((1)/(2)*a +(3)/(4), (3)/(2), (1)/(2)*(z)^(2)) = ((2)^((1)/(2)*a -(5)/(4))* GAMMA((1)/(2)*a +(1)/(4))*exp((1)/(4)*(z)^(2)))/(z*sqrt(Pi))*(CylinderU(a, - z)- CylinderU(a, z))
 
Hypergeometric1F1[Divide[1,2]*a +Divide[3,4], Divide[3,2], Divide[1,2]*(z)^(2)] == Divide[(2)^(Divide[1,2]*a -Divide[5,4])* Gamma[Divide[1,2]*a +Divide[1,4]]*Exp[Divide[1,4]*(z)^(2)],z*Sqrt[Pi]]*(ParabolicCylinderD[- 1/2 -(a), - z]- ParabolicCylinderD[- 1/2 -(a), z])
 Successful Successful - Successful [Tested: 21]
13.6.E16 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperM@{-n}{\tfrac{1}{2}}{z^{2}} = (-1)^{n}\frac{n!}{(2n)!}\HermitepolyH{2n}@{z}}
\KummerconfhyperM@{-n}{\tfrac{1}{2}}{z^{2}} = (-1)^{n}\frac{n!}{(2n)!}\HermitepolyH{2n}@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerM(- n, (1)/(2), (z)^(2)) = (- 1)^(n)*(factorial(n))/(factorial(2*n))*HermiteH(2*n, z)
 
Hypergeometric1F1[- n, Divide[1,2], (z)^(2)] == (- 1)^(n)*Divide[(n)!,(2*n)!]*HermiteH[2*n, z]
 Failure Failure Successful [Tested: 21] Successful [Tested: 21]
13.6.E17 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperM@{-n}{\tfrac{3}{2}}{z^{2}} = (-1)^{n}\frac{n!}{(2n+1)!2z}\HermitepolyH{2n+1}@{z}}
\KummerconfhyperM@{-n}{\tfrac{3}{2}}{z^{2}} = (-1)^{n}\frac{n!}{(2n+1)!2z}\HermitepolyH{2n+1}@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerM(- n, (3)/(2), (z)^(2)) = (- 1)^(n)*(factorial(n))/(factorial(2*n + 1)*2*z)*HermiteH(2*n + 1, z)
 
Hypergeometric1F1[- n, Divide[3,2], (z)^(2)] == (- 1)^(n)*Divide[(n)!,(2*n + 1)!*2*z]*HermiteH[2*n + 1, z]
 Failure Failure Successful [Tested: 21] Successful [Tested: 21]
13.6.E18 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{\tfrac{1}{2}-\tfrac{1}{2}n}{\tfrac{3}{2}}{z^{2}} = 2^{-n}z^{-1}\HermitepolyH{n}@{z}}
\KummerconfhyperU@{\tfrac{1}{2}-\tfrac{1}{2}n}{\tfrac{3}{2}}{z^{2}} = 2^{-n}z^{-1}\HermitepolyH{n}@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU((1)/(2)-(1)/(2)*n, (3)/(2), (z)^(2)) = (2)^(- n)* (z)^(- 1)* HermiteH(n, z)
 
HypergeometricU[Divide[1,2]-Divide[1,2]*n, Divide[3,2], (z)^(2)] == (2)^(- n)* (z)^(- 1)* HermiteH[n, z]
 Failure Failure
Failed [2 / 21]
Result: .5000000003-2.598076212*I
Test Values: {z = -1/2+1/2*I*3^(1/2), n = 2}

Result: .8660254044+1.500000000*I
Test Values: {z = -1/2*3^(1/2)-1/2*I, n = 2}
Failed [2 / 21]
Result: Complex[0.5000000000000006, -2.5980762113533156]
Test Values: {Rule[n, 2], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

Result: Complex[0.8660254037844388, 1.5]
Test Values: {Rule[n, 2], Rule[z, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}

13.6.E19 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{-n}{\alpha+1}{z} = (-1)^{n}\Pochhammersym{\alpha+1}{n}\KummerconfhyperM@{-n}{\alpha+1}{z}}
\KummerconfhyperU@{-n}{\alpha+1}{z} = (-1)^{n}\Pochhammersym{\alpha+1}{n}\KummerconfhyperM@{-n}{\alpha+1}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU(- n, alpha + 1, z) = (- 1)^(n)* pochhammer(alpha + 1, n)*KummerM(- n, alpha + 1, z)
 
HypergeometricU[- n, \[Alpha]+ 1, z] == (- 1)^(n)* Pochhammer[\[Alpha]+ 1, n]*Hypergeometric1F1[- n, \[Alpha]+ 1, z]
 Failure Failure Successful [Tested: 63] Successful [Tested: 63]
13.6.E19 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (-1)^{n}\Pochhammersym{\alpha+1}{n}\KummerconfhyperM@{-n}{\alpha+1}{z} = (-1)^{n}n!\LaguerrepolyL[\alpha]{n}@{z}}
(-1)^{n}\Pochhammersym{\alpha+1}{n}\KummerconfhyperM@{-n}{\alpha+1}{z} = (-1)^{n}n!\LaguerrepolyL[\alpha]{n}@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(- 1)^(n)* pochhammer(alpha + 1, n)*KummerM(- n, alpha + 1, z) = (- 1)^(n)* factorial(n)*LaguerreL(n, alpha, z)
 
(- 1)^(n)* Pochhammer[\[Alpha]+ 1, n]*Hypergeometric1F1[- n, \[Alpha]+ 1, z] == (- 1)^(n)* (n)!*LaguerreL[n, \[Alpha], z]
 Missing Macro Error Successful Skip - symbolical successful subtest Successful [Tested: 63]
13.6.E20 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{-n}{z-n+1}{a} = \Pochhammersym{-z}{n}\KummerconfhyperM@{-n}{z-n+1}{a}}
\KummerconfhyperU@{-n}{z-n+1}{a} = \Pochhammersym{-z}{n}\KummerconfhyperM@{-n}{z-n+1}{a}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU(- n, z - n + 1, a) = pochhammer(- z, n)*KummerM(- n, z - n + 1, a)
 
HypergeometricU[- n, z - n + 1, a] == Pochhammer[- z, n]*Hypergeometric1F1[- n, z - n + 1, a]
 Failure Failure Error
Failed [6 / 126]
Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[n, 3], Rule[z, 2]}

Result: Indeterminate
Test Values: {Rule[a, 1.5], Rule[n, 3], Rule[z, 2]}

... skip entries to safe data
13.6.E20 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Pochhammersym{-z}{n}\KummerconfhyperM@{-n}{z-n+1}{a} = a^{n}\CharlierpolyC{n}@{z}{a}}
\Pochhammersym{-z}{n}\KummerconfhyperM@{-n}{z-n+1}{a} = a^{n}\CharlierpolyC{n}@{z}{a}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
Error
 
Pochhammer[- z, n]*Hypergeometric1F1[- n, z - n + 1, a] == (a)^(n)* HypergeometricPFQ[{-(n), -(z)}, {}, -Divide[1,a]]
 Missing Macro Error Missing Macro Error Skip - symbolical successful subtest Skip - symbolical successful subtest
13.6.E21 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{b}{z} = z^{-a}\genhyperF{2}{0}@{a,a-b+1}{-}{-z^{-1}}}
\KummerconfhyperU@{a}{b}{z} = z^{-a}\genhyperF{2}{0}@{a,a-b+1}{-}{-z^{-1}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU(a, b, z) = (z)^(- a)* hypergeom([a , a - b + 1], [-], - (z)^(- 1))
 
HypergeometricU[a, b, z] == (z)^(- a)* HypergeometricPFQ[{a , a - b + 1}, {-}, - (z)^(- 1)]
 Error Failure - Error
13.7.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{b}{z} = z^{-a}\sum_{s=0}^{n-1}\frac{\Pochhammersym{a}{s}\Pochhammersym{a-b+1}{s}}{s!}(-z)^{-s}+\varepsilon_{n}(z)}
\KummerconfhyperU@{a}{b}{z} = z^{-a}\sum_{s=0}^{n-1}\frac{\Pochhammersym{a}{s}\Pochhammersym{a-b+1}{s}}{s!}(-z)^{-s}+\varepsilon_{n}(z)		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerU(a, b, z) = (z)^(- a)* sum((pochhammer(a, s)*pochhammer(a - b + 1, s))/(factorial(s))*(- z)^(- s), s = 0..n - 1)+ varepsilon[n](z)
 
HypergeometricU[a, b, z] == (z)^(- a)* Sum[Divide[Pochhammer[a, s]*Pochhammer[a - b + 1, s],(s)!]*(- z)^(- s), {s, 0, n - 1}, GenerateConditions->None]+ Subscript[\[CurlyEpsilon], n][z]
 Failure Failure
Failed [300 / 300]
Result: 1.515657870-.5735934827*I
Test Values: {a = -3/2, b = -3/2, z = 1/2*3^(1/2)+1/2*I, varepsilon[n] = 1/2*3^(1/2)+1/2*I, n = 1, varepsilon = 1}

Result: 1.515657870-.5735934827*I
Test Values: {a = -3/2, b = -3/2, z = 1/2*3^(1/2)+1/2*I, varepsilon[n] = 1/2*3^(1/2)+1/2*I, n = 1, varepsilon = 2}

... skip entries to safe data
Failed [300 / 300]
Result: Complex[1.515657869456145, -0.5735934817267648]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[n, 1], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ε, 1], Rule[Subscript[ε, n], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[1.515657869456145, -0.5735934817267648]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[n, 1], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ε, 2], Rule[Subscript[ε, n], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
13.7.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{a}{b}{z} = z^{-a}\sum_{s=0}^{n-1}\frac{\Pochhammersym{a}{s}\Pochhammersym{a-b+1}{s}}{s!}(-z)^{-s}+R_{n}(a,b,z)}
\KummerconfhyperU@{a}{b}{z} = z^{-a}\sum_{s=0}^{n-1}\frac{\Pochhammersym{a}{s}\Pochhammersym{a-b+1}{s}}{s!}(-z)^{-s}+R_{n}(a,b,z)		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{a} > 0, \realpart@@{(a-b+1)} > 0} 
KummerU(a, b, z) = (z)^(- a)* sum((pochhammer(a, s)*pochhammer(a - b + 1, s))/(factorial(s))*(- z)^(- s)+(((- 1)^(n)* 2*Pi*(z)^(a - b))/(GAMMA(a)*GAMMA(a - b + 1))*(sum((pochhammer(1 - a, s)*pochhammer(b - a, s))/(factorial(s))*(- z)^(- s)* G[n + 2*a - b - s](z), s = 0..m - 1)+ pochhammer(1 - a, m)*pochhammer(b - a, m)*R[m , n](a , b , z))), s = 0..n - 1)
 
HypergeometricU[a, b, z] == (z)^(- a)* Sum[Divide[Pochhammer[a, s]*Pochhammer[a - b + 1, s],(s)!]*(- z)^(- s)+(Divide[(- 1)^(n)* 2*Pi*(z)^(a - b),Gamma[a]*Gamma[a - b + 1]]*(Sum[Divide[Pochhammer[1 - a, s]*Pochhammer[b - a, s],(s)!]*(- z)^(- s)* Subscript[G, n + 2*a - b - s][z], {s, 0, m - 1}, GenerateConditions->None]+ Pochhammer[1 - a, m]*Pochhammer[b - a, m]*Subscript[R, m , n][a , b , z])), {s, 0, n - 1}, GenerateConditions->None]
 Failure Failure
Failed [300 / 300]
Result: .1211969897-.2855680854e-1*I+(-.7071067811+.7071067809*I)*(2.023326709-.5908179514*I+(.8862269255-1.534990063*I)*(1.500000000, -1.500000000, .8660254040+.5000000000*I))
Test Values: {a = 3/2, b = -3/2, z = 1/2*3^(1/2)+1/2*I, G[n+2*a-b-s] = 1/2*3^(1/2)+1/2*I, R[m,n] = 1/2*3^(1/2)+1/2*I, m = 1, n = 1}

Result: .1211969897-.2855680854e-1*I+(-.7071067811+.7071067809*I)*(-6.242805838+4.181635900*I+(-1.772453851+3.069980127*I)*(1.500000000, -1.500000000, .8660254040+.5000000000*I))
Test Values: {a = 3/2, b = -3/2, z = 1/2*3^(1/2)+1/2*I, G[n+2*a-b-s] = 1/2*3^(1/2)+1/2*I, R[m,n] = 1/2*3^(1/2)+1/2*I, m = 1, n = 2}

... skip entries to safe data
 Error
13.8.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \left(e^{t}-1\right)^{a-1}\exp@{t+z(1-e^{-t})} = \sum_{s=0}^{\infty}q_{s}(z,a)t^{s+a-1}}
\left(e^{t}-1\right)^{a-1}\exp@{t+z(1-e^{-t})} = \sum_{s=0}^{\infty}q_{s}(z,a)t^{s+a-1}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(exp(t)- 1)^(a - 1)* exp(t + z*(1 - exp(- t))) = sum(q[s](z , a)* (t)^(s + a - 1), s = 0..infinity)
 
(Exp[t]- 1)^(a - 1)* Exp[t + z*(1 - Exp[- t])] == Sum[Subscript[q, s][z , a]* (t)^(s + a - 1), {s, 0, Infinity}, GenerateConditions->None]
 Error Failure - Error
13.8#Ex1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle p_{k}(z) = \sum_{s=0}^{k}\binom{k}{s}\Pochhammersym{1-b+s}{k-s}z^{s}c_{k+s}(z)}
p_{k}(z) = \sum_{s=0}^{k}\binom{k}{s}\Pochhammersym{1-b+s}{k-s}z^{s}c_{k+s}(z)		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
p[k](z) = sum(binomial(k,s)*pochhammer(1 - b + s, k - s)*(z)^(s)* c[k + s](z), s = 0..k)
 
Subscript[p, k][z] == Sum[Binomial[k,s]*Pochhammer[1 - b + s, k - s]*(z)^(s)* Subscript[c, k + s][z], {s, 0, k}, GenerateConditions->None]
 Failure Failure
Failed [300 / 300]
Result: -.7500000009-2.299038107*I
Test Values: {b = -3/2, z = 1/2*3^(1/2)+1/2*I, c[k+s] = 1/2*3^(1/2)+1/2*I, p[k] = 1/2*3^(1/2)+1/2*I, k = 1}

Result: -3.375000005-14.57772229*I
Test Values: {b = -3/2, z = 1/2*3^(1/2)+1/2*I, c[k+s] = 1/2*3^(1/2)+1/2*I, p[k] = 1/2*3^(1/2)+1/2*I, k = 2}

... skip entries to safe data
 Skipped - Because timed out
13.8#Ex2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q_{k}(z) = \sum_{s=0}^{k}\binom{k}{s}\Pochhammersym{2-b+s}{k-s}z^{s}c_{k+s+1}(z)}
q_{k}(z) = \sum_{s=0}^{k}\binom{k}{s}\Pochhammersym{2-b+s}{k-s}z^{s}c_{k+s+1}(z)		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
q[k](z) = sum(binomial(k,s)*pochhammer(2 - b + s, k - s)*(z)^(s)* c[k + s + 1](z), s = 0..k)
 
Subscript[q, k][z] == Sum[Binomial[k,s]*Pochhammer[2 - b + s, k - s]*(z)^(s)* Subscript[c, k + s + 1][z], {s, 0, k}, GenerateConditions->None]
 Failure Failure
Failed [300 / 300]
Result: -1.250000001-3.165063511*I
Test Values: {b = -3/2, z = 1/2*3^(1/2)+1/2*I, c[k+s+1] = 1/2*3^(1/2)+1/2*I, q[k] = 1/2*3^(1/2)+1/2*I, k = 1}

Result: -6.875000009-22.63990012*I
Test Values: {b = -3/2, z = 1/2*3^(1/2)+1/2*I, c[k+s+1] = 1/2*3^(1/2)+1/2*I, q[k] = 1/2*3^(1/2)+1/2*I, k = 2}

... skip entries to safe data
 Skipped - Because timed out
13.8.E16 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (k+1)c_{k+1}(z)+\sum_{s=0}^{k}\left(\frac{b\BernoullinumberB{s+1}}{(s+1)!}+\frac{z(s+1)\BernoullinumberB{s+2}}{(s+2)!}\right)c_{k-s}(z) = 0}
(k+1)c_{k+1}(z)+\sum_{s=0}^{k}\left(\frac{b\BernoullinumberB{s+1}}{(s+1)!}+\frac{z(s+1)\BernoullinumberB{s+2}}{(s+2)!}\right)c_{k-s}(z) = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(k + 1)*c[k + 1](z)+ sum(((b*bernoulli(s + 1))/(factorial(s + 1))+(z*(s + 1)*bernoulli(s + 2))/(factorial(s + 2)))*c[k - s](z), s = 0..k) = 0
 
(k + 1)*Subscript[c, k + 1][z]+ Sum[(Divide[b*BernoulliB[s + 1],(s + 1)!]+Divide[z*(s + 1)*BernoulliB[s + 2],(s + 2)!])*Subscript[c, k - s][z], {s, 0, k}, GenerateConditions->None] == 0
 Failure Failure
Failed [300 / 300]
Result: 2.313541668+4.086338379*I
Test Values: {b = -3/2, z = 1/2*3^(1/2)+1/2*I, c[1+k] = 1/2*3^(1/2)+1/2*I, c[k-s] = 1/2*3^(1/2)+1/2*I, k = 3}

Result: 1.377763239+3.777643283*I
Test Values: {b = -3/2, z = 1/2*3^(1/2)+1/2*I, c[1+k] = 1/2*3^(1/2)+1/2*I, c[k-s] = -1/2+1/2*I*3^(1/2), k = 3}

... skip entries to safe data
 Skipped - Because timed out
13.8#Ex3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \pderiv{f}{t} = \left(b\left(\frac{1}{t}-\frac{1}{e^{t}-1}\right)-z\left(\frac{1}{t^{2}}-\frac{e^{t}}{\left(e^{t}-1\right)^{2}}\right)\right)f}
\pderiv{f}{t} = \left(b\left(\frac{1}{t}-\frac{1}{e^{t}-1}\right)-z\left(\frac{1}{t^{2}}-\frac{e^{t}}{\left(e^{t}-1\right)^{2}}\right)\right)f		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(f, t) = (b*((1)/(t)-(1)/(exp(t)- 1))- z*((1)/((t)^(2))-(exp(t))/((exp(t)- 1)^(2))))*f
 
D[f, t] == (b*(Divide[1,t]-Divide[1,Exp[t]- 1])- z*(Divide[1,(t)^(2)]-Divide[Exp[t],(Exp[t]- 1)^(2)]))*f
 Failure Failure
Failed [300 / 300]
Result: .8434854075+.5301342049*I
Test Values: {b = -3/2, f = 1/2*3^(1/2)+1/2*I, t = -3/2, z = 1/2*3^(1/2)+1/2*I}

Result: .7413969054+.5027796732*I
Test Values: {b = -3/2, f = 1/2*3^(1/2)+1/2*I, t = -3/2, z = -1/2+1/2*I*3^(1/2)}

... skip entries to safe data
Failed [300 / 300]
Result: Complex[0.8434854065788572, 0.5301342044541701]
Test Values: {Rule[b, -1.5], Rule[f, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[t, -1.5], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[0.7413969045334019, 0.5027796727745873]
Test Values: {Rule[b, -1.5], Rule[f, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[t, -1.5], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.9.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle p(a,b) = \ceiling{-a}}
p(a,b) = \ceiling{-a}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a < 0, b \geq 0} 
p(a , b) = ceil(- a)
 
p[a , b] == Ceiling[- a]
 Failure Failure
Failed [90 / 90]
Result: (.8660254040+.5000000000*I)*(-1.500000000, 1.500000000)-2.
Test Values: {a = -3/2, b = 3/2, p = 1/2*3^(1/2)+1/2*I}

Result: (-.5000000000+.8660254040*I)*(-1.500000000, 1.500000000)-2.
Test Values: {a = -3/2, b = 3/2, p = -1/2+1/2*I*3^(1/2)}

... skip entries to safe data
 Error
13.9.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle p(a,b) = 0}
p(a,b) = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a \geq 0, b \geq 0} 
p(a , b) = 0
 
p[a , b] == 0
 Skipped - no semantic math Skipped - no semantic math - -
13.9.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle p(a,b) = 1}
p(a,b) = 1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a \geq 0, -1 < b, b < 0} 
p(a , b) = 1
 
p[a , b] == 1
 Skipped - no semantic math Skipped - no semantic math - -
13.9.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle p(a,b) = \floor{-\tfrac{1}{2}b}-\floor{-\tfrac{1}{2}(b+1)}}
p(a,b) = \floor{-\tfrac{1}{2}b}-\floor{-\tfrac{1}{2}(b+1)}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a \geq 0, b \leq -1} 
p(a , b) = floor(-(1)/(2)*b)- floor(-(1)/(2)*(b + 1))
 
p[a , b] == Floor[-Divide[1,2]*b]- Floor[-Divide[1,2]*(b + 1)]
 Failure Failure Error Error
13.9.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle p(a,b) = \ceiling{-a}-\ceiling{-b}}
p(a,b) = \ceiling{-a}-\ceiling{-b}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ceiling{-a} \geq \ceiling{-b}, a < 0, b < 0} 
p(a , b) = ceil(- a)- ceil(- b)
 
p[a , b] == Ceiling[- a]- Ceiling[- b]
 Failure Failure Error Error
13.9.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle p(a,b) = \floor{\tfrac{1}{2}\left(\ceiling{-b}-\ceiling{-a}+1\right)}-\floor{\tfrac{1}{2}\left(\ceiling{-b}-\ceiling{-a}\right)}}
p(a,b) = \floor{\tfrac{1}{2}\left(\ceiling{-b}-\ceiling{-a}+1\right)}-\floor{\tfrac{1}{2}\left(\ceiling{-b}-\ceiling{-a}\right)}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ceiling{-b} > \ceiling{-a}, \ceiling{-a} > 0} 
p(a , b) = floor((1)/(2)*(ceil(- b)- ceil(- a)+ 1))- floor((1)/(2)*(ceil(- b)- ceil(- a)))
 
p[a , b] == Floor[Divide[1,2]*(Ceiling[- b]- Ceiling[- a]+ 1)]- Floor[Divide[1,2]*(Ceiling[- b]- Ceiling[- a])]
 Failure Failure
Failed [20 / 20]
Result: (.8660254040+.5000000000*I)*(-.5000000000, -1.500000000)-1.
Test Values: {a = -1/2, b = -3/2, p = 1/2*3^(1/2)+1/2*I}

Result: (-.5000000000+.8660254040*I)*(-.5000000000, -1.500000000)-1.
Test Values: {a = -1/2, b = -3/2, p = -1/2+1/2*I*3^(1/2)}

... skip entries to safe data
 Error
13.9.E11 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle T(a,b) = \floor{-a}+1}
T(a,b) = \floor{-a}+1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a < 0, \EulerGamma@{a}\EulerGamma@{a-b+1} > 0} 
T(a , b) = floor(- a)+ 1
 
T[a , b] == Floor[- a]+ 1
 Failure Failure Error Error
13.9.E12 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle T(a,b) = \floor{-a}}
T(a,b) = \floor{-a}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a < 0, \EulerGamma@{a}\EulerGamma@{a-b+1} < 0} 
T(a , b) = floor(- a)
 
T[a , b] == Floor[- a]
 Failure Failure Error Error
13.9.E13 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle T(a,b) = 0}
T(a,b) = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a > 0} 
T(a , b) = 0
 
T[a , b] == 0
 Skipped - no semantic math Skipped - no semantic math - -
13.9.E14 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle P(a,b) = \ceiling{b-a-1}}
P(a,b) = \ceiling{b-a-1}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a+1 < b} 
P(a , b) = ceil(b - a - 1)
 
P[a , b] == Ceiling[b - a - 1]
 Failure Failure
Failed [100 / 100]
Result: (.8660254040+.5000000000*I)*(-1.500000000, 1.500000000)-2.
Test Values: {P = 1/2*3^(1/2)+1/2*I, a = -3/2, b = 3/2}

Result: (.8660254040+.5000000000*I)*(-1.500000000, .5000000000)-1.
Test Values: {P = 1/2*3^(1/2)+1/2*I, a = -3/2, b = 1/2}

... skip entries to safe data
 Error
13.9.E15 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle P(a,b) = 0}
P(a,b) = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a+1 \geq b} 
P(a , b) = 0
 
P[a , b] == 0
 Skipped - no semantic math Skipped - no semantic math - -
13.10.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\OlverconfhyperM@{a}{b}{z}\diff{z} = \frac{1}{a-1}\OlverconfhyperM@{a-1}{b-1}{z}}
\int\OlverconfhyperM@{a}{b}{z}\diff{z} = \frac{1}{a-1}\OlverconfhyperM@{a-1}{b-1}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(b+s)} > 0, \realpart@@{((b-1)+s)} > 0} 
int(KummerM(a, b, z)/GAMMA(b), z) = (1)/(a - 1)*KummerM(a - 1, b - 1, z)/GAMMA(b - 1)
 
Integrate[Hypergeometric1F1Regularized[a, b, z], z, GenerateConditions->None] == Divide[1,a - 1]*Hypergeometric1F1Regularized[a - 1, b - 1, z]
 Successful Failure -
Failed [252 / 252]
Result: Complex[-0.4231421876608173, 0.0]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[-0.42314218766081735, 0.0]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.10.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\KummerconfhyperU@{a}{b}{z}\diff{z} = -\frac{1}{a-1}\KummerconfhyperU@{a-1}{b-1}{z}}
\int\KummerconfhyperU@{a}{b}{z}\diff{z} = -\frac{1}{a-1}\KummerconfhyperU@{a-1}{b-1}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
int(KummerU(a, b, z), z) = -(1)/(a - 1)*KummerU(a - 1, b - 1, z)
 
Integrate[HypergeometricU[a, b, z], z, GenerateConditions->None] == -Divide[1,a - 1]*HypergeometricU[a - 1, b - 1, z]
 Successful Successful - Successful [Tested: 252]
13.10.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}e^{-zt}t^{b-1}\OlverconfhyperM@{a}{c}{kt}\diff{t} = \EulerGamma@{b}z^{-b}\genhyperOlverF{2}{1}@{a,b}{c}{\ifrac{k}{z}}}
\int_{0}^{\infty}e^{-zt}t^{b-1}\OlverconfhyperM@{a}{c}{kt}\diff{t} = \EulerGamma@{b}z^{-b}\genhyperOlverF{2}{1}@{a,b}{c}{\ifrac{k}{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{b} > 0, \realpart@@{z} > \max\left(\realpart@@{k}, \realpart@@{(c+s)} > 0} 
int(exp(- z*t)*(t)^(b - 1)* KummerM(a, c, k*t)/GAMMA(c), t = 0..infinity) = GAMMA(b)*(z)^(- b)* hypergeom([a , b], [c], (k)/(z))
 
Integrate[Exp[- z*t]*(t)^(b - 1)* Hypergeometric1F1Regularized[a, c, k*t], {t, 0, Infinity}, GenerateConditions->None] == Gamma[b]*(z)^(- b)* HypergeometricPFQRegularized[{a , b}, {c}, Divide[k,z]]
 Failure Aborted
Failed [300 / 300]
Result: Float(undefined)+Float(undefined)*I
Test Values: {a = -3/2, b = -3/2, c = -3/2, z = 1/2*3^(1/2)+1/2*I, k = 1}

Result: Float(undefined)+Float(undefined)*I
Test Values: {a = -3/2, b = -3/2, c = -3/2, z = 1/2*3^(1/2)+1/2*I, k = 2}

... skip entries to safe data
 Skipped - Because timed out
13.10.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}e^{-zt}t^{b-1}\OlverconfhyperM@{a}{b}{t}\diff{t} = z^{-b}\left(1-\frac{1}{z}\right)^{-a}}
\int_{0}^{\infty}e^{-zt}t^{b-1}\OlverconfhyperM@{a}{b}{t}\diff{t} = z^{-b}\left(1-\frac{1}{z}\right)^{-a}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{b} > 0, \realpart@@{z} > 1, \realpart@@{(b+s)} > 0} 
int(exp(- z*t)*(t)^(b - 1)* KummerM(a, b, t)/GAMMA(b), t = 0..infinity) = (z)^(- b)*(1 -(1)/(z))^(- a)
 
Integrate[Exp[- z*t]*(t)^(b - 1)* Hypergeometric1F1Regularized[a, b, t], {t, 0, Infinity}, GenerateConditions->None] == (z)^(- b)*(1 -Divide[1,z])^(- a)
 Failure Aborted
Failed [24 / 36]
Result: -.2095131204
Test Values: {a = -3/2, b = 3/2, z = 3/2}

Result: -.2500000000
Test Values: {a = -3/2, b = 3/2, z = 2}

... skip entries to safe data
 Skipped - Because timed out
13.10.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}e^{-t}t^{b-1}\OlverconfhyperM@{a}{c}{t}\diff{t} = \frac{\EulerGamma@{b}\EulerGamma@{c-a-b}}{\EulerGamma@{c-a}\EulerGamma@{c-b}}}
\int_{0}^{\infty}e^{-t}t^{b-1}\OlverconfhyperM@{a}{c}{t}\diff{t} = \frac{\EulerGamma@{b}\EulerGamma@{c-a-b}}{\EulerGamma@{c-a}\EulerGamma@{c-b}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@{c-a} > \realpart@@{b}, \realpart@@{b} > 0, \realpart@@{(c-a-b)} > 0, \realpart@@{(c-a)} > 0, \realpart@@{(c-b)} > 0, \realpart@@{(c+s)} > 0} 
int(exp(- t)*(t)^(b - 1)* KummerM(a, c, t)/GAMMA(c), t = 0..infinity) = (GAMMA(b)*GAMMA(c - a - b))/(GAMMA(c - a)*GAMMA(c - b))
 
Integrate[Exp[- t]*(t)^(b - 1)* Hypergeometric1F1Regularized[a, c, t], {t, 0, Infinity}, GenerateConditions->None] == Divide[Gamma[b]*Gamma[c - a - b],Gamma[c - a]*Gamma[c - b]]
 Successful Aborted - Skipped - Because timed out
13.10.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}e^{-zt-t^{2}}t^{2b-2}\OlverconfhyperM@{a}{b}{t^{2}}\diff{t} = \tfrac{1}{2}\pi^{-\frac{1}{2}}\EulerGamma@{b-\tfrac{1}{2}}\KummerconfhyperU@{b-\tfrac{1}{2}}{a+\tfrac{1}{2}}{\tfrac{1}{4}z^{2}}}
\int_{0}^{\infty}e^{-zt-t^{2}}t^{2b-2}\OlverconfhyperM@{a}{b}{t^{2}}\diff{t} = \tfrac{1}{2}\pi^{-\frac{1}{2}}\EulerGamma@{b-\tfrac{1}{2}}\KummerconfhyperU@{b-\tfrac{1}{2}}{a+\tfrac{1}{2}}{\tfrac{1}{4}z^{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{b} > \tfrac{1}{2}, \realpart@@{z} > 0, \realpart@@{(b-\tfrac{1}{2})} > 0, \realpart@@{(b+s)} > 0} 
int(exp(- z*t - (t)^(2))*(t)^(2*b - 2)* KummerM(a, b, (t)^(2))/GAMMA(b), t = 0..infinity) = (1)/(2)*(Pi)^(-(1)/(2))* GAMMA(b -(1)/(2))*KummerU(b -(1)/(2), a +(1)/(2), (1)/(4)*(z)^(2))
 
Integrate[Exp[- z*t - (t)^(2)]*(t)^(2*b - 2)* Hypergeometric1F1Regularized[a, b, (t)^(2)], {t, 0, Infinity}, GenerateConditions->None] == Divide[1,2]*(Pi)^(-Divide[1,2])* Gamma[b -Divide[1,2]]*HypergeometricU[b -Divide[1,2], a +Divide[1,2], Divide[1,4]*(z)^(2)]
 Failure Aborted Skipped - Because timed out Skipped - Because timed out
13.10.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}e^{-zt}t^{b-1}\KummerconfhyperU@{a}{c}{t}\diff{t} = \EulerGamma@{b}\EulerGamma@{b-c+1}\*z^{-b}\genhyperOlverF{2}{1}@{a,b}{a+b-c+1}{1-\frac{1}{z}}}
\int_{0}^{\infty}e^{-zt}t^{b-1}\KummerconfhyperU@{a}{c}{t}\diff{t} = \EulerGamma@{b}\EulerGamma@{b-c+1}\*z^{-b}\genhyperOlverF{2}{1}@{a,b}{a+b-c+1}{1-\frac{1}{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{b} > \max\left(\realpart@@{c-1}, \realpart@@{z} > 0, \realpart@@{b} > 0, \realpart@@{(b-c+1)} > 0} 
int(exp(- z*t)*(t)^(b - 1)* KummerU(a, c, t), t = 0..infinity) = GAMMA(b)*GAMMA(b - c + 1)* (z)^(- b)* hypergeom([a , b], [a + b - c + 1], 1 -(1)/(z))
 
Integrate[Exp[- z*t]*(t)^(b - 1)* HypergeometricU[a, c, t], {t, 0, Infinity}, GenerateConditions->None] == Gamma[b]*Gamma[b - c + 1]* (z)^(- b)* HypergeometricPFQRegularized[{a , b}, {a + b - c + 1}, 1 -Divide[1,z]]
 Failure Aborted Skipped - Because timed out Skipped - Because timed out
13.10.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{1}{2\pi\iunit}\int_{-\infty}^{(0+)}e^{tz}t^{-a}\OlverconfhyperM@{a}{b}{\ifrac{y}{t}}\diff{t} = \frac{1}{\EulerGamma@{a}}z^{\frac{1}{2}(2a-b-1)}y^{\frac{1}{2}(1-b)}\modBesselI{b-1}@{2\sqrt{zy}}}
\frac{1}{2\pi\iunit}\int_{-\infty}^{(0+)}e^{tz}t^{-a}\OlverconfhyperM@{a}{b}{\ifrac{y}{t}}\diff{t} = \frac{1}{\EulerGamma@{a}}z^{\frac{1}{2}(2a-b-1)}y^{\frac{1}{2}(1-b)}\modBesselI{b-1}@{2\sqrt{zy}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{z} > 0, \realpart@@{a} > 0, \realpart@@{(b+s)} > 0, \realpart@@{((b-1)+k+1)} > 0} 
(1)/(2*Pi*I)*int(exp(t*(x + y*I))*(t)^(- a)* KummerM(a, b, (y)/(t))/GAMMA(b), t = - infinity..(0 +)) = (1)/(GAMMA(a))*(x + y*I)^((1)/(2)*(2*a - b - 1))* (y)^((1)/(2)*(1 - b))* BesselI(b - 1, 2*sqrt((x + y*I)*y))
 
Divide[1,2*Pi*I]*Integrate[Exp[t*(x + y*I)]*(t)^(- a)* Hypergeometric1F1Regularized[a, b, Divide[y,t]], {t, - Infinity, (0 +)}, GenerateConditions->None] == Divide[1,Gamma[a]]*(x + y*I)^(Divide[1,2]*(2*a - b - 1))* (y)^(Divide[1,2]*(1 - b))* BesselI[b - 1, 2*Sqrt[(x + y*I)*y]]
 Error Failure - Error
13.10.E9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{1}{2\pi\iunit}\int_{-\infty}^{(0+)}e^{tz}t^{-a}\KummerconfhyperU@{a}{b}{\ifrac{y}{t}}\diff{t} = \frac{2z^{\frac{1}{2}(2a-b-1)}y^{\frac{1}{2}(1-b)}}{\EulerGamma@{a}\EulerGamma@{a-b+1}}\modBesselK{b-1}@{2\sqrt{zy}}}
\frac{1}{2\pi\iunit}\int_{-\infty}^{(0+)}e^{tz}t^{-a}\KummerconfhyperU@{a}{b}{\ifrac{y}{t}}\diff{t} = \frac{2z^{\frac{1}{2}(2a-b-1)}y^{\frac{1}{2}(1-b)}}{\EulerGamma@{a}\EulerGamma@{a-b+1}}\modBesselK{b-1}@{2\sqrt{zy}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{z} > 0, \realpart@@{a} > 0, \realpart@@{(a-b+1)} > 0} 
(1)/(2*Pi*I)*int(exp(t*(x + y*I))*(t)^(- a)* KummerU(a, b, (y)/(t)), t = - infinity..(0 +)) = (2*(x + y*I)^((1)/(2)*(2*a - b - 1))* (y)^((1)/(2)*(1 - b)))/(GAMMA(a)*GAMMA(a - b + 1))*BesselK(b - 1, 2*sqrt((x + y*I)*y))
 
Divide[1,2*Pi*I]*Integrate[Exp[t*(x + y*I)]*(t)^(- a)* HypergeometricU[a, b, Divide[y,t]], {t, - Infinity, (0 +)}, GenerateConditions->None] == Divide[2*(x + y*I)^(Divide[1,2]*(2*a - b - 1))* (y)^(Divide[1,2]*(1 - b)),Gamma[a]*Gamma[a - b + 1]]*BesselK[b - 1, 2*Sqrt[(x + y*I)*y]]
 Error Failure - Error
13.10.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}t^{\lambda-1}\OlverconfhyperM@{a}{b}{-t}\diff{t} = \frac{\EulerGamma@{\lambda}\EulerGamma@{a-\lambda}}{\EulerGamma@{a}\EulerGamma@{b-\lambda}}}
\int_{0}^{\infty}t^{\lambda-1}\OlverconfhyperM@{a}{b}{-t}\diff{t} = \frac{\EulerGamma@{\lambda}\EulerGamma@{a-\lambda}}{\EulerGamma@{a}\EulerGamma@{b-\lambda}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 < \realpart@@{\lambda}, \realpart@@{\lambda} < \realpart@@{a}, \realpart@@{(\lambda)} > 0, \realpart@@{(a-\lambda)} > 0, \realpart@@{a} > 0, \realpart@@{(b-\lambda)} > 0, \realpart@@{(b+s)} > 0} 
int((t)^(lambda - 1)* KummerM(a, b, - t)/GAMMA(b), t = 0..infinity) = (GAMMA(lambda)*GAMMA(a - lambda))/(GAMMA(a)*GAMMA(b - lambda))
 
Integrate[(t)^(\[Lambda]- 1)* Hypergeometric1F1Regularized[a, b, - t], {t, 0, Infinity}, GenerateConditions->None] == Divide[Gamma[\[Lambda]]*Gamma[a - \[Lambda]],Gamma[a]*Gamma[b - \[Lambda]]]
 Successful Aborted - Skipped - Because timed out
13.10.E11 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}t^{\lambda-1}\KummerconfhyperU@{a}{b}{t}\diff{t} = \frac{\EulerGamma@{\lambda}\EulerGamma@{a-\lambda}\EulerGamma@{\lambda-b+1}}{\EulerGamma@{a}\EulerGamma@{a-b+1}}}
\int_{0}^{\infty}t^{\lambda-1}\KummerconfhyperU@{a}{b}{t}\diff{t} = \frac{\EulerGamma@{\lambda}\EulerGamma@{a-\lambda}\EulerGamma@{\lambda-b+1}}{\EulerGamma@{a}\EulerGamma@{a-b+1}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \max\left(\realpart@@{b-1} < \realpart@@{\lambda}, 0\right) < \realpart@@{\lambda}, \realpart@@{\lambda} < \realpart@@{a}, \realpart@@{(\lambda)} > 0, \realpart@@{(a-\lambda)} > 0, \realpart@@{(\lambda-b+1)} > 0, \realpart@@{a} > 0, \realpart@@{(a-b+1)} > 0} 
int((t)^(lambda - 1)* KummerU(a, b, t), t = 0..infinity) = (GAMMA(lambda)*GAMMA(a - lambda)*GAMMA(lambda - b + 1))/(GAMMA(a)*GAMMA(a - b + 1))
 
Integrate[(t)^(\[Lambda]- 1)* HypergeometricU[a, b, t], {t, 0, Infinity}, GenerateConditions->None] == Divide[Gamma[\[Lambda]]*Gamma[a - \[Lambda]]*Gamma[\[Lambda]- b + 1],Gamma[a]*Gamma[a - b + 1]]
 Successful Successful - Successful [Tested: 300]
13.10.E12 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}\cos@{2xt}\OlverconfhyperM@{a}{b}{-t^{2}}\diff{t} = \frac{\sqrt{\pi}}{2\EulerGamma@{a}}x^{2a-1}e^{-x^{2}}\KummerconfhyperU@{b-\tfrac{1}{2}}{a+\tfrac{1}{2}}{x^{2}}}
\int_{0}^{\infty}\cos@{2xt}\OlverconfhyperM@{a}{b}{-t^{2}}\diff{t} = \frac{\sqrt{\pi}}{2\EulerGamma@{a}}x^{2a-1}e^{-x^{2}}\KummerconfhyperU@{b-\tfrac{1}{2}}{a+\tfrac{1}{2}}{x^{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{a} > 0, \realpart@@{(b+s)} > 0} 
int(cos(2*x*t)*KummerM(a, b, - (t)^(2))/GAMMA(b), t = 0..infinity) = (sqrt(Pi))/(2*GAMMA(a))*(x)^(2*a - 1)* exp(- (x)^(2))*KummerU(b -(1)/(2), a +(1)/(2), (x)^(2))
 
Integrate[Cos[2*x*t]*Hypergeometric1F1Regularized[a, b, - (t)^(2)], {t, 0, Infinity}, GenerateConditions->None] == Divide[Sqrt[Pi],2*Gamma[a]]*(x)^(2*a - 1)* Exp[- (x)^(2)]*HypergeometricU[b -Divide[1,2], a +Divide[1,2], (x)^(2)]
 Failure Aborted
Failed [51 / 54]
Result: Float(undefined)+Float(undefined)*I
Test Values: {a = 3/2, b = -3/2, x = 3/2}

Result: Float(undefined)+Float(undefined)*I
Test Values: {a = 3/2, b = -3/2, x = 1/2}

... skip entries to safe data
 Skipped - Because timed out
13.10.E13 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}e^{-t}t^{b-1-\frac{1}{2}\nu}\OlverconfhyperM@{a}{b}{t}\BesselJ{\nu}@{2\sqrt{xt}}\diff{t} = x^{-a+\frac{1}{2}\nu}e^{-x}\OlverconfhyperM@{\nu-b+1}{\nu-a+1}{x}}
\int_{0}^{\infty}e^{-t}t^{b-1-\frac{1}{2}\nu}\OlverconfhyperM@{a}{b}{t}\BesselJ{\nu}@{2\sqrt{xt}}\diff{t} = x^{-a+\frac{1}{2}\nu}e^{-x}\OlverconfhyperM@{\nu-b+1}{\nu-a+1}{x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x > 0, 2\realpart@@{a} < \realpart@@{\nu}+\tfrac{5}{2}, \realpart@@{b} > 0, \realpart@@{(\nu+k+1)} > 0, \realpart@@{(b+s)} > 0, \realpart@@{((\nu-a+1)+s)} > 0} 
int(exp(- t)*(t)^(b - 1 -(1)/(2)*nu)* KummerM(a, b, t)/GAMMA(b)*BesselJ(nu, 2*sqrt(x*t)), t = 0..infinity) = (x)^(- a +(1)/(2)*nu)* exp(- x)*KummerM(nu - b + 1, nu - a + 1, x)/GAMMA(nu - a + 1)
 
Integrate[Exp[- t]*(t)^(b - 1 -Divide[1,2]*\[Nu])* Hypergeometric1F1Regularized[a, b, t]*BesselJ[\[Nu], 2*Sqrt[x*t]], {t, 0, Infinity}, GenerateConditions->None] == (x)^(- a +Divide[1,2]*\[Nu])* Exp[- x]*Hypergeometric1F1Regularized[\[Nu]- b + 1, \[Nu]- a + 1, x]
 Failure Aborted Skipped - Because timed out Skipped - Because timed out
13.10.E14 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}e^{-t}t^{\frac{1}{2}\nu}\OlverconfhyperM@{a}{b}{t}\BesselJ{\nu}@{2\sqrt{xt}}\diff{t} = \frac{x^{\frac{1}{2}\nu}e^{-x}}{\EulerGamma@{b-a}}\KummerconfhyperU@{a}{a-b+\nu+2}{x}}
\int_{0}^{\infty}e^{-t}t^{\frac{1}{2}\nu}\OlverconfhyperM@{a}{b}{t}\BesselJ{\nu}@{2\sqrt{xt}}\diff{t} = \frac{x^{\frac{1}{2}\nu}e^{-x}}{\EulerGamma@{b-a}}\KummerconfhyperU@{a}{a-b+\nu+2}{x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x > 0, -1 < \realpart@@{\nu}, \realpart@@{\nu} < 2\realpart@{b-a}-\tfrac{1}{2}, \realpart@@{(\nu+k+1)} > 0, \realpart@@{(b-a)} > 0, \realpart@@{(b+s)} > 0} 
int(exp(- t)*(t)^((1)/(2)*nu)* KummerM(a, b, t)/GAMMA(b)*BesselJ(nu, 2*sqrt(x*t)), t = 0..infinity) = ((x)^((1)/(2)*nu)* exp(- x))/(GAMMA(b - a))*KummerU(a, a - b + nu + 2, x)
 
Integrate[Exp[- t]*(t)^(Divide[1,2]*\[Nu])* Hypergeometric1F1Regularized[a, b, t]*BesselJ[\[Nu], 2*Sqrt[x*t]], {t, 0, Infinity}, GenerateConditions->None] == Divide[(x)^(Divide[1,2]*\[Nu])* Exp[- x],Gamma[b - a]]*HypergeometricU[a, a - b + \[Nu]+ 2, x]
 Failure Aborted Skipped - Because timed out Skipped - Because timed out
13.10.E15 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}t^{\frac{1}{2}\nu}\KummerconfhyperU@{a}{b}{t}\BesselJ{\nu}@{2\sqrt{xt}}\diff{t} = \frac{\EulerGamma@{\nu-b+2}}{\EulerGamma@{a}}x^{\frac{1}{2}\nu}\KummerconfhyperU@{\nu-b+2}{\nu-a+2}{x}}
\int_{0}^{\infty}t^{\frac{1}{2}\nu}\KummerconfhyperU@{a}{b}{t}\BesselJ{\nu}@{2\sqrt{xt}}\diff{t} = \frac{\EulerGamma@{\nu-b+2}}{\EulerGamma@{a}}x^{\frac{1}{2}\nu}\KummerconfhyperU@{\nu-b+2}{\nu-a+2}{x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x > 0, \max\left(\realpart@@{b-2} < \realpart@@{\nu}, -1\right) < \realpart@@{\nu}, \realpart@@{\nu} < 2\realpart@@{a}+\tfrac{1}{2}, \realpart@@{(\nu+k+1)} > 0, \realpart@@{(\nu-b+2)} > 0, \realpart@@{a} > 0} 
int((t)^((1)/(2)*nu)* KummerU(a, b, t)*BesselJ(nu, 2*sqrt(x*t)), t = 0..infinity) = (GAMMA(nu - b + 2))/(GAMMA(a))*(x)^((1)/(2)*nu)* KummerU(nu - b + 2, nu - a + 2, x)
 
Integrate[(t)^(Divide[1,2]*\[Nu])* HypergeometricU[a, b, t]*BesselJ[\[Nu], 2*Sqrt[x*t]], {t, 0, Infinity}, GenerateConditions->None] == Divide[Gamma[\[Nu]- b + 2],Gamma[a]]*(x)^(Divide[1,2]*\[Nu])* HypergeometricU[\[Nu]- b + 2, \[Nu]- a + 2, x]
 Successful Aborted - Skipped - Because timed out
13.10.E16 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}e^{-t}t^{\frac{1}{2}\nu}\KummerconfhyperU@{a}{b}{t}\BesselJ{\nu}@{2\sqrt{xt}}\diff{t} = \EulerGamma@{\nu-b+2}x^{\frac{1}{2}\nu}e^{-x}\OlverconfhyperM@{a}{a-b+\nu+2}{x}}
\int_{0}^{\infty}e^{-t}t^{\frac{1}{2}\nu}\KummerconfhyperU@{a}{b}{t}\BesselJ{\nu}@{2\sqrt{xt}}\diff{t} = \EulerGamma@{\nu-b+2}x^{\frac{1}{2}\nu}e^{-x}\OlverconfhyperM@{a}{a-b+\nu+2}{x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x > 0, \max\left(\realpart@@{b-2} < \realpart@@{\nu}, -1\right) < \realpart@@{\nu}, \realpart@@{(\nu+k+1)} > 0, \realpart@@{(\nu-b+2)} > 0, \realpart@@{((a-b+\nu+2)+s)} > 0} 
int(exp(- t)*(t)^((1)/(2)*nu)* KummerU(a, b, t)*BesselJ(nu, 2*sqrt(x*t)), t = 0..infinity) = GAMMA(nu - b + 2)*(x)^((1)/(2)*nu)* exp(- x)*KummerM(a, a - b + nu + 2, x)/GAMMA(a - b + nu + 2)
 
Integrate[Exp[- t]*(t)^(Divide[1,2]*\[Nu])* HypergeometricU[a, b, t]*BesselJ[\[Nu], 2*Sqrt[x*t]], {t, 0, Infinity}, GenerateConditions->None] == Gamma[\[Nu]- b + 2]*(x)^(Divide[1,2]*\[Nu])* Exp[- x]*Hypergeometric1F1Regularized[a, a - b + \[Nu]+ 2, x]
 Failure Aborted Skipped - Because timed out Skipped - Because timed out
13.11.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperM@{a}{b}{z} = \EulerGamma@{a-\tfrac{1}{2}}e^{\frac{1}{2}z}\left(\tfrac{1}{4}z\right)^{\frac{1}{2}-a}\*\sum_{s=0}^{\infty}\frac{\Pochhammersym{2a-1}{s}\Pochhammersym{2a-b}{s}}{\Pochhammersym{b}{s}s!}\*\left(a-\tfrac{1}{2}+s\right)\*\modBesselI{a-\frac{1}{2}+s}@{\tfrac{1}{2}z}}
\KummerconfhyperM@{a}{b}{z} = \EulerGamma@{a-\tfrac{1}{2}}e^{\frac{1}{2}z}\left(\tfrac{1}{4}z\right)^{\frac{1}{2}-a}\*\sum_{s=0}^{\infty}\frac{\Pochhammersym{2a-1}{s}\Pochhammersym{2a-b}{s}}{\Pochhammersym{b}{s}s!}\*\left(a-\tfrac{1}{2}+s\right)\*\modBesselI{a-\frac{1}{2}+s}@{\tfrac{1}{2}z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(a-\tfrac{1}{2})} > 0, \realpart@@{((a-\frac{1}{2}+s)+k+1)} > 0} 
KummerM(a, b, z) = GAMMA(a -(1)/(2))*exp((1)/(2)*z)*((1)/(4)*z)^((1)/(2)- a)* sum((pochhammer(2*a - 1, s)*pochhammer(2*a - b, s))/(pochhammer(b, s)*factorial(s))*(a -(1)/(2)+ s)* BesselI(a -(1)/(2)+ s, (1)/(2)*z), s = 0..infinity)
 
Hypergeometric1F1[a, b, z] == Gamma[a -Divide[1,2]]*Exp[Divide[1,2]*z]*(Divide[1,4]*z)^(Divide[1,2]- a)* Sum[Divide[Pochhammer[2*a - 1, s]*Pochhammer[2*a - b, s],Pochhammer[b, s]*(s)!]*(a -Divide[1,2]+ s)* BesselI[a -Divide[1,2]+ s, Divide[1,2]*z], {s, 0, Infinity}, GenerateConditions->None]
 Failure Failure Manual Skip!
Failed [84 / 84]
Result: Plus[Complex[-3.202632216430895, 12.150063432924489], Times[Complex[-5.9381784278055925, 1.66646925063829], NSum[Times[Plus[1.0, s], BesselI[Plus[1.0, s], Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Power[Factorial[s], -1], Power[Pochhammer[-1.5, s], -1], Pochhammer[2.0, s], Pochhammer[4.5, s]]
Test Values: {s, 0, DirectedInfinity[1]}, Rule[GenerateConditions, None]]]], {Rule[a, 1.5], Rule[b, -1.5], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Plus[Complex[3.448639860241066, -0.8097281072366314], Times[Complex[0.28180823919021325, 3.102430445912792], NSum[Times[Plus[1.0, s], BesselI[Plus[1.0, s], Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]], Power[Factorial[s], -1], Power[Pochhammer[-1.5, s], -1], Pochhammer[2.0, s], Pochhammer[4.5, s]]
Test Values: {s, 0, DirectedInfinity[1]}, Rule[GenerateConditions, None]]]], {Rule[a, 1.5], Rule[b, -1.5], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
13.12.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperM@{a}{b}{z}\KummerconfhyperM@{-a}{-b}{-z}+\frac{a(a-b)z^{2}}{b^{2}(1-b^{2})}\KummerconfhyperM@{1+a}{2+b}{z}\KummerconfhyperM@{1-a}{2-b}{-z} = 1}
\KummerconfhyperM@{a}{b}{z}\KummerconfhyperM@{-a}{-b}{-z}+\frac{a(a-b)z^{2}}{b^{2}(1-b^{2})}\KummerconfhyperM@{1+a}{2+b}{z}\KummerconfhyperM@{1-a}{2-b}{-z} = 1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
KummerM(a, b, z)*KummerM(- a, - b, - z)+(a*(a - b)*(z)^(2))/((b)^(2)*(1 - (b)^(2)))*KummerM(1 + a, 2 + b, z)*KummerM(1 - a, 2 - b, - z) = 1
 
Hypergeometric1F1[a, b, z]*Hypergeometric1F1[- a, - b, - z]+Divide[a*(a - b)*(z)^(2),(b)^(2)*(1 - (b)^(2))]*Hypergeometric1F1[1 + a, 2 + b, z]*Hypergeometric1F1[1 - a, 2 - b, - z] == 1
 Failure Failure Error
Failed [84 / 252]
Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
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