18.14

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
18.14.E1	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\JacobipolyP{\alpha}{\beta}{n}@{x}| \leq \JacobipolyP{\alpha}{\beta}{n}@{1}} |\JacobipolyP{\alpha}{\beta}{n}@{x}| \leq \JacobipolyP{\alpha}{\beta}{n}@{1}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 \leq x, x \leq 1, \alpha \geq \beta, \beta > -1}	abs(JacobiP(n, alpha, beta, x)) <= JacobiP(n, alpha, beta, 1)	Abs[JacobiP[n, \[Alpha], \[Beta], x]] <= JacobiP[n, \[Alpha], \[Beta], 1]	Failure	Failure	Successful [Tested: 9]	Successful [Tested: 9]
18.14.E1	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \JacobipolyP{\alpha}{\beta}{n}@{1} = \frac{\Pochhammersym{\alpha+1}{n}}{n!}} \JacobipolyP{\alpha}{\beta}{n}@{1} = \frac{\Pochhammersym{\alpha+1}{n}}{n!}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 \leq x, x \leq 1, \alpha \geq \beta, \beta > -1}	JacobiP(n, alpha, beta, 1) = (pochhammer(alpha + 1, n))/(factorial(n))	JacobiP[n, \[Alpha], \[Beta], 1] == Divide[Pochhammer[\[Alpha]+ 1, n],(n)!]	Successful	Successful	Skip - symbolical successful subtest	Successful [Tested: 9]
18.14.E2	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\JacobipolyP{\alpha}{\beta}{n}@{x}| \leq |\JacobipolyP{\alpha}{\beta}{n}@{-1}|=\frac{\Pochhammersym{\beta+1}{n}}{n!}} |\JacobipolyP{\alpha}{\beta}{n}@{x}| \leq |\JacobipolyP{\alpha}{\beta}{n}@{-1}|=\frac{\Pochhammersym{\beta+1}{n}}{n!}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 \leq x, x \leq 1, \beta \geq \alpha, \alpha > -1}	abs(JacobiP(n, alpha, beta, x)) <= abs(JacobiP(n, alpha, beta, - 1)) = (pochhammer(beta + 1, n))/(factorial(n))	Abs[JacobiP[n, \[Alpha], \[Beta], x]] <= Abs[JacobiP[n, \[Alpha], \[Beta], - 1]] == Divide[Pochhammer[\[Beta]+ 1, n],(n)!]	Failure	Failure	Error	Failed [1 / 9] Result: False Test Values: {Rule[n, 1], Rule[x, 0.5], Rule[α, 2], Rule[β, Rational[1, 2]]}
18.14.E4	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\ultrasphpoly{\lambda}{n}@{x}| \leq \ultrasphpoly{\lambda}{n}@{1}} |\ultrasphpoly{\lambda}{n}@{x}| \leq \ultrasphpoly{\lambda}{n}@{1}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 \leq x, x \leq 1, \lambda > 0}	abs(GegenbauerC(n, lambda, x)) <= GegenbauerC(n, lambda, 1)	Abs[GegenbauerC[n, \[Lambda], x]] <= GegenbauerC[n, \[Lambda], 1]	Failure	Failure	Successful [Tested: 9]	Successful [Tested: 9]
18.14.E4	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ultrasphpoly{\lambda}{n}@{1} = \frac{\Pochhammersym{2\lambda}{n}}{n!}} \ultrasphpoly{\lambda}{n}@{1} = \frac{\Pochhammersym{2\lambda}{n}}{n!}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 \leq x, x \leq 1, \lambda > 0}	GegenbauerC(n, lambda, 1) = (pochhammer(2*lambda, n))/(factorial(n))	GegenbauerC[n, \[Lambda], 1] == Divide[Pochhammer[2*\[Lambda], n],(n)!]	Successful	Successful	Skip - symbolical successful subtest	Successful [Tested: 9]
18.14.E5	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\ultrasphpoly{\lambda}{2m}@{x}| \leq |\ultrasphpoly{\lambda}{2m}@{0}|=\left|\frac{\Pochhammersym{\lambda}{m}}{m!}\right|} |\ultrasphpoly{\lambda}{2m}@{x}| \leq |\ultrasphpoly{\lambda}{2m}@{0}|=\left|\frac{\Pochhammersym{\lambda}{m}}{m!}\right|	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 \leq x, x \leq 1, -\tfrac{1}{2} < \lambda, \lambda < 0}	abs(GegenbauerC(2*m, lambda, x)) <= abs(GegenbauerC(2*m, lambda, 0)) = abs((pochhammer(lambda, m))/(factorial(m)))	Abs[GegenbauerC[2*m, \[Lambda], x]] <= Abs[GegenbauerC[2*m, \[Lambda], 0]] == Abs[Divide[Pochhammer[\[Lambda], m],(m)!]]	Failure	Failure	Error	Skip - No test values generated
18.14.E6	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\ultrasphpoly{\lambda}{2m+1}@{x}| < \frac{-2\Pochhammersym{\lambda}{m+1}}{\left((2m+1)(2\lambda+2m+1)\right)^{\frac{1}{2}}m!}} |\ultrasphpoly{\lambda}{2m+1}@{x}| < \frac{-2\Pochhammersym{\lambda}{m+1}}{\left((2m+1)(2\lambda+2m+1)\right)^{\frac{1}{2}}m!}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 \leq x, x \leq 1, -\tfrac{1}{2} < \lambda, \lambda < 0}	abs(GegenbauerC(2*m + 1, lambda, x)) < (- 2*pochhammer(lambda, m + 1))/(((2*m + 1)*(2*lambda + 2*m + 1))^((1)/(2))* factorial(m))	Abs[GegenbauerC[2*m + 1, \[Lambda], x]] < Divide[- 2*Pochhammer[\[Lambda], m + 1],((2*m + 1)*(2*\[Lambda]+ 2*m + 1))^(Divide[1,2])* (m)!]	Failure	Failure	Error	Skip - No test values generated
18.14.E7	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (n+\lambda)^{1-\lambda}(1-x^{2})^{\frac{1}{2}\lambda}|\ultrasphpoly{\lambda}{n}@{x}| < \frac{2^{1-\lambda}}{\EulerGamma@{\lambda}}} (n+\lambda)^{1-\lambda}(1-x^{2})^{\frac{1}{2}\lambda}|\ultrasphpoly{\lambda}{n}@{x}| < \frac{2^{1-\lambda}}{\EulerGamma@{\lambda}}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 \leq x, x \leq 1, 0 < \lambda, \lambda < 1, \realpart@@{(\lambda)} > 0}	(n + lambda)^(1 - lambda)*(1 - (x)^(2))^((1)/(2)*lambda)*abs(GegenbauerC(n, lambda, x)) < ((2)^(1 - lambda))/(GAMMA(lambda))	(n + \[Lambda])^(1 - \[Lambda])*(1 - (x)^(2))^(Divide[1,2]*\[Lambda])*Abs[GegenbauerC[n, \[Lambda], x]] < Divide[(2)^(1 - \[Lambda]),Gamma[\[Lambda]]]	Skipped - Unable to analyze test case: Null	Skipped - Unable to analyze test case: Null	-	-
18.14.E8	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{-\frac{1}{2}x}\left|\LaguerrepolyL[\alpha]{n}@{x}\right| \leq \LaguerrepolyL[\alpha]{n}@{0}} e^{-\frac{1}{2}x}\left|\LaguerrepolyL[\alpha]{n}@{x}\right| \leq \LaguerrepolyL[\alpha]{n}@{0}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 \leq x, x < \infty, \alpha \geq 0}	exp(-(1)/(2)*x)*abs(LaguerreL(n, alpha, x)) <= LaguerreL(n, alpha, 0)	Exp[-Divide[1,2]*x]*Abs[LaguerreL[n, \[Alpha], x]] <= LaguerreL[n, \[Alpha], 0]	Missing Macro Error	Failure	-	Successful [Tested: 27]
18.14.E8	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \LaguerrepolyL[\alpha]{n}@{0} = \frac{\Pochhammersym{\alpha+1}{n}}{n!}} \LaguerrepolyL[\alpha]{n}@{0} = \frac{\Pochhammersym{\alpha+1}{n}}{n!}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 \leq x, x < \infty, \alpha \geq 0}	LaguerreL(n, alpha, 0) = (pochhammer(alpha + 1, n))/(factorial(n))	LaguerreL[n, \[Alpha], 0] == Divide[Pochhammer[\[Alpha]+ 1, n],(n)!]	Missing Macro Error	Successful	-	Successful [Tested: 9]
18.14.E9	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{1}{(2^{n}n!)^{\frac{1}{2}}}e^{-\frac{1}{2}x^{2}}|\HermitepolyH{n}@{x}| \leq 1} \frac{1}{(2^{n}n!)^{\frac{1}{2}}}e^{-\frac{1}{2}x^{2}}|\HermitepolyH{n}@{x}| \leq 1	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < \infty}	(1)/(((2)^(n)* factorial(n))^((1)/(2)))*exp(-(1)/(2)*(x)^(2))*abs(HermiteH(n, x)) <= 1	Divide[1,((2)^(n)* (n)!)^(Divide[1,2])]*Exp[-Divide[1,2]*(x)^(2)]*Abs[HermiteH[n, x]] <= 1	Failure	Failure	Successful [Tested: 9]	Successful [Tested: 9]
18.14.E10	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (\LegendrepolyP{n}@{x})^{2} \geq \LegendrepolyP{n-1}@{x}\LegendrepolyP{n+1}@{x}} (\LegendrepolyP{n}@{x})^{2} \geq \LegendrepolyP{n-1}@{x}\LegendrepolyP{n+1}@{x}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 \leq x, x \leq 1}	(LegendreP(n, x))^(2) >= LegendreP(n - 1, x)*LegendreP(n + 1, x)	(LegendreP[n, x])^(2) >= LegendreP[n - 1, x]*LegendreP[n + 1, x]	Failure	Failure	Successful [Tested: 3]	Successful [Tested: 3]
18.14.E11	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (R_{n}(x))^{2} \geq R_{n-1}(x)R_{n+1}(x)} (R_{n}(x))^{2} \geq R_{n-1}(x)R_{n+1}(x)	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 \leq x, x \leq 1, \beta \geq \alpha, \alpha > -1}	(R[n](x))^(2) >= R[n - 1](x)* R[n + 1](x)	(Subscript[R, n][x])^(2) >= Subscript[R, n - 1][x]* Subscript[R, n + 1][x]	Skipped - no semantic math	Skipped - no semantic math	-	-
18.14.E12	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (\LaguerrepolyL[\alpha]{n}@{x})^{2} \geq \LaguerrepolyL[\alpha]{n-1}@{x}\LaguerrepolyL[\alpha]{n+1}@{x}} (\LaguerrepolyL[\alpha]{n}@{x})^{2} \geq \LaguerrepolyL[\alpha]{n-1}@{x}\LaguerrepolyL[\alpha]{n+1}@{x}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 \leq x, x < \infty, \alpha \geq 0}	(LaguerreL(n, alpha, x))^(2) >= LaguerreL(n - 1, alpha, x)*LaguerreL(n + 1, alpha, x)	(LaguerreL[n, \[Alpha], x])^(2) >= LaguerreL[n - 1, \[Alpha], x]*LaguerreL[n + 1, \[Alpha], x]	Missing Macro Error	Failure	-	Successful [Tested: 27]
18.14.E13	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (\HermitepolyH{n}@{x})^{2} \geq \HermitepolyH{n-1}@{x}\HermitepolyH{n+1}@{x}} (\HermitepolyH{n}@{x})^{2} \geq \HermitepolyH{n-1}@{x}\HermitepolyH{n+1}@{x}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < \infty}	(HermiteH(n, x))^(2) >= HermiteH(n - 1, x)*HermiteH(n + 1, x)	(HermiteH[n, x])^(2) >= HermiteH[n - 1, x]*HermiteH[n + 1, x]	Failure	Failure	Successful [Tested: 9]	Successful [Tested: 9]
18.14.E14	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 = x_{n,0}} -1 = x_{n,0}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	- 1 = x[n , 0]	- 1 == Subscript[x, n , 0]	Skipped - no semantic math	Skipped - no semantic math	-	-
18.14.E15	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x_{n,m} \leq (\beta-\alpha)/(\alpha+\beta+1)\leq x_{n,m+1}} x_{n,m} \leq (\beta-\alpha)/(\alpha+\beta+1)\leq x_{n,m+1}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	x[n , m] <= (beta - alpha)/(alpha + beta + 1) <= x[n , m + 1]	Subscript[x, n , m] <= (\[Beta]- \[Alpha])/(\[Alpha]+ \[Beta]+ 1) <= Subscript[x, n , m + 1]	Skipped - no semantic math	Skipped - no semantic math	-	-
18.14#Ex1	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,0}}| > |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,1}}|} |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,0}}| > |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,1}}|	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	abs(JacobiP(n, alpha, beta, x[n , 0])) > abs(JacobiP(n, alpha, beta, x[n , 1]))	Abs[JacobiP[n, \[Alpha], \[Beta], Subscript[x, n , 0]]] > Abs[JacobiP[n, \[Alpha], \[Beta], Subscript[x, n , 1]]]	Failure	Failure	Failed [184 / 300] Result: 2.500000000 < 2.500000000 Test Values: {alpha = 3/2, beta = 3/2, x[n,0] = 1/2*3^(1/2)+1/2*I, x[n,1] = 1/2*3^(1/2)+1/2*I, n = 1} Result: 4.871793818 < 4.871793818 Test Values: {alpha = 3/2, beta = 3/2, x[n,0] = 1/2*3^(1/2)+1/2*I, x[n,1] = 1/2*3^(1/2)+1/2*I, n = 2} ... skip entries to safe data	Failed [184 / 300] Result: False Test Values: {Rule[n, 1], Rule[α, 1.5], Rule[β, 1.5], Rule[Subscript[x, n, 0], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[x, n, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: False Test Values: {Rule[n, 2], Rule[α, 1.5], Rule[β, 1.5], Rule[Subscript[x, n, 0], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[x, n, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} ... skip entries to safe data
18.14#Ex2	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,n}}| > |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,n-1}}|} |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,n}}| > |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,n-1}}|	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \alpha > -\tfrac{1}{2}, \beta > -\tfrac{1}{2}.}	abs(JacobiP(n, alpha, beta, x[n , n])) > abs(JacobiP(n, alpha, beta, x[n , n - 1]))	Abs[JacobiP[n, \[Alpha], \[Beta], Subscript[x, n , n]]] > Abs[JacobiP[n, \[Alpha], \[Beta], Subscript[x, n , n - 1]]]	Error	Failure	-	Skip - No test values generated
18.14#Ex3	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,0}}| < |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,1}}|} |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,0}}| < |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,1}}|	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	abs(JacobiP(n, alpha, beta, x[n , 0])) < abs(JacobiP(n, alpha, beta, x[n , 1]))	Abs[JacobiP[n, \[Alpha], \[Beta], Subscript[x, n , 0]]] < Abs[JacobiP[n, \[Alpha], \[Beta], Subscript[x, n , 1]]]	Failure	Failure	Failed [184 / 300] Result: 2.500000000 < 2.500000000 Test Values: {alpha = 3/2, beta = 3/2, x[n,0] = 1/2*3^(1/2)+1/2*I, x[n,1] = 1/2*3^(1/2)+1/2*I, n = 1} Result: 4.871793820 < 4.871793820 Test Values: {alpha = 3/2, beta = 3/2, x[n,0] = 1/2*3^(1/2)+1/2*I, x[n,1] = 1/2*3^(1/2)+1/2*I, n = 2} ... skip entries to safe data	Failed [184 / 300] Result: False Test Values: {Rule[n, 1], Rule[α, 1.5], Rule[β, 1.5], Rule[Subscript[x, n, 0], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[x, n, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: False Test Values: {Rule[n, 2], Rule[α, 1.5], Rule[β, 1.5], Rule[Subscript[x, n, 0], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[x, n, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} ... skip entries to safe data
18.14#Ex4	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,n}}| < |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,n-1}}|} |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,n}}| < |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,n-1}}|	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 < \alpha, \alpha < -\tfrac{1}{2}, -1 < \beta, \beta < -\tfrac{1}{2}.}	abs(JacobiP(n, alpha, beta, x[n , n])) < abs(JacobiP(n, alpha, beta, x[n , n - 1]))	Abs[JacobiP[n, \[Alpha], \[Beta], Subscript[x, n , n]]] < Abs[JacobiP[n, \[Alpha], \[Beta], Subscript[x, n , n - 1]]]	Error	Failure	-	Skip - No test values generated
18.14.E18	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,0}}| < |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,1}}|} |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,0}}| < |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,1}}|	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 < \beta, \beta \leq -\tfrac{1}{2}}	abs(JacobiP(n, alpha, beta, x[n , 0])) < abs(JacobiP(n, alpha, beta, x[n , 1]))	Abs[JacobiP[n, \[Alpha], \[Beta], Subscript[x, n , 0]]] < Abs[JacobiP[n, \[Alpha], \[Beta], Subscript[x, n , 1]]]	Failure	Failure	Error	Skip - No test values generated
18.14.E19	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,0}}| > |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,1}}|} |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,0}}| > |\JacobipolyP{\alpha}{\beta}{n}@{x_{n,1}}|	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 < \alpha, \alpha \leq -\tfrac{1}{2}}	abs(JacobiP(n, alpha, beta, x[n , 0])) > abs(JacobiP(n, alpha, beta, x[n , 1]))	Abs[JacobiP[n, \[Alpha], \[Beta], Subscript[x, n , 0]]] > Abs[JacobiP[n, \[Alpha], \[Beta], Subscript[x, n , 1]]]	Failure	Failure	Error	Skip - No test values generated
18.14.E20	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \left|\frac{\JacobipolyP{\alpha}{\beta}{n}@{x_{n,n-m}}}{\JacobipolyP{\alpha}{\beta}{n}@{1}}\right| > \left|\frac{\JacobipolyP{\alpha}{\beta}{n+1}@{x_{n+1,n-m+1}}}{\JacobipolyP{\alpha}{\beta}{n+1}@{1}}\right|} \left|\frac{\JacobipolyP{\alpha}{\beta}{n}@{x_{n,n-m}}}{\JacobipolyP{\alpha}{\beta}{n}@{1}}\right| > \left|\frac{\JacobipolyP{\alpha}{\beta}{n+1}@{x_{n+1,n-m+1}}}{\JacobipolyP{\alpha}{\beta}{n+1}@{1}}\right|	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \alpha = \beta, \beta > -\tfrac{1}{2}, m = 1}	abs((JacobiP(n, alpha, beta, x[n , n - m]))/(JacobiP(n, alpha, beta, 1))) > abs((JacobiP(n + 1, alpha, beta, x[n + 1 , n - m + 1]))/(JacobiP(n + 1, alpha, beta, 1)))	Abs[Divide[JacobiP[n, \[Alpha], \[Beta], Subscript[x, n , n - m]],JacobiP[n, \[Alpha], \[Beta], 1]]] > Abs[Divide[JacobiP[n + 1, \[Alpha], \[Beta], Subscript[x, n + 1 , n - m + 1]],JacobiP[n + 1, \[Alpha], \[Beta], 1]]]	Failure	Failure	Failed [188 / 300] Result: 1.113552873 < 1.000000000 Test Values: {alpha = 3/2, beta = 3/2, x[n,n-m] = 1/2*3^(1/2)+1/2*I, x[n+1,n-m+1] = 1/2*3^(1/2)+1/2*I, m = 1, n = 1} Result: 1.400000001 < 1.113552873 Test Values: {alpha = 3/2, beta = 3/2, x[n,n-m] = 1/2*3^(1/2)+1/2*I, x[n+1,n-m+1] = 1/2*3^(1/2)+1/2*I, m = 1, n = 2} ... skip entries to safe data	Failed [234 / 300] Result: False Test Values: {Rule[m, 1], Rule[n, 1], Rule[α, 1.5], Rule[β, 1.5], Rule[Subscript[x, n, Plus[Times[-1, m], n]], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[x, Plus[1, n], Plus[1, Times[-1, m], n]], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: False Test Values: {Rule[m, 1], Rule[n, 2], Rule[α, 1.5], Rule[β, 1.5], Rule[Subscript[x, n, Plus[Times[-1, m], n]], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[x, Plus[1, n], Plus[1, Times[-1, m], n]], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} ... skip entries to safe data
18.14.E21	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 = x_{n,0}} 0 = x_{n,0}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	0 = x[n , 0]	0 == Subscript[x, n , 0]	Skipped - no semantic math	Skipped - no semantic math	-	-
18.14.E22	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x_{n,m} \leq \alpha+\tfrac{1}{2}} x_{n,m} \leq \alpha+\tfrac{1}{2}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	x[n , m] <= alpha +(1)/(2)	Subscript[x, n , m] <= \[Alpha]+Divide[1,2]	Skipped - no semantic math	Skipped - no semantic math	-	-
18.14#Ex5	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\LaguerrepolyL[\alpha]{n}@{x_{n,0}}| > |\LaguerrepolyL[\alpha]{n}@{x_{n,1}}|} |\LaguerrepolyL[\alpha]{n}@{x_{n,0}}| > |\LaguerrepolyL[\alpha]{n}@{x_{n,1}}|	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	abs(LaguerreL(n, alpha, x[n , 0])) > abs(LaguerreL(n, alpha, x[n , 1]))	Abs[LaguerreL[n, \[Alpha], Subscript[x, n , 0]]] > Abs[LaguerreL[n, \[Alpha], Subscript[x, n , 1]]]	Missing Macro Error	Failure	-	Failed [165 / 300] Result: False Test Values: {Rule[n, 1], Rule[α, 1.5], Rule[Subscript[x, n, 0], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[x, n, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: False Test Values: {Rule[n, 2], Rule[α, 1.5], Rule[Subscript[x, n, 0], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[x, n, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} ... skip entries to safe data
18.14#Ex6	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\LaguerrepolyL[\alpha]{n}@{x_{n,n-1}}| > |\LaguerrepolyL[\alpha]{n}@{x_{n,n-2}}|} |\LaguerrepolyL[\alpha]{n}@{x_{n,n-1}}| > |\LaguerrepolyL[\alpha]{n}@{x_{n,n-2}}|	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	abs(LaguerreL(n, alpha, x[n , n - 1])) > abs(LaguerreL(n, alpha, x[n , n - 2]))	Abs[LaguerreL[n, \[Alpha], Subscript[x, n , n - 1]]] > Abs[LaguerreL[n, \[Alpha], Subscript[x, n , n - 2]]]	Missing Macro Error	Failure	-	Failed [165 / 300] Result: False Test Values: {Rule[n, 1], Rule[α, 1.5], Rule[Subscript[x, n, Plus[-2, n]], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[x, n, Plus[-1, n]], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: False Test Values: {Rule[n, 2], Rule[α, 1.5], Rule[Subscript[x, n, Plus[-2, n]], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[x, n, Plus[-1, n]], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} ... skip entries to safe data
18.14.E24	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\LaguerrepolyL[\alpha]{n}@{x_{n,0}}| < |\LaguerrepolyL[\alpha]{n}@{x_{n,1}}|} |\LaguerrepolyL[\alpha]{n}@{x_{n,0}}| < |\LaguerrepolyL[\alpha]{n}@{x_{n,1}}|	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	abs(LaguerreL(n, alpha, x[n , 0])) < abs(LaguerreL(n, alpha, x[n , 1]))	Abs[LaguerreL[n, \[Alpha], Subscript[x, n , 0]]] < Abs[LaguerreL[n, \[Alpha], Subscript[x, n , 1]]]	Missing Macro Error	Failure	-	Failed [165 / 300] Result: False Test Values: {Rule[n, 1], Rule[α, 1.5], Rule[Subscript[x, n, 0], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[x, n, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: False Test Values: {Rule[n, 2], Rule[α, 1.5], Rule[Subscript[x, n, 0], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[x, n, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} ... skip entries to safe data