32.9: Difference between revisions

Latest revision as of 12:13, 28 June 2021

DLMF	Formula	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
32.9.E1	${\displaystyle{\displaystyle w(z;\mu,0,0,-\mu\kappa^{3})=\kappa z^{1/3}}}$ `w(z;\mu,0,0,-\mu\kappa^{3}) = \kappa z^{1/3}`	w(z ; mu , 0 , 0 , - mu(kappa)^(3)) = kappa(z)^(1/3)	w[z ; \[Mu], 0 , 0 , - \[Mu]\[Kappa]^(3)] == \[Kappa](z)^(1/3)	Skipped - no semantic math	Skipped - no semantic math	-	-
32.9.E2	${\displaystyle{\displaystyle w(z;0,-2\kappa,0,4\kappa\mu-\lambda^{2})=z(\kappa% (\ln z)^{2}+\lambda\ln z+\mu)}}$ `w(z;0,-2\kappa,0,4\kappa\mu-\lambda^{2}) = z(\kappa(\ln@@{z})^{2}+\lambda\ln@@{z}+\mu)`	w(z ; 0 , - 2kappa(,)0 , 4kappa(mu)- (lambda)^(2)) = z((kappa(ln(z)))^(2)+ lambda*ln(z)+ mu)	w[z ; 0 , - 2\[Kappa][,]0 , 4\[Kappa][Mu]- \[Lambda]^(2)] == z((\[Kappa][Log[z]])^(2)+ \[Lambda]*Log[z]+ \[Mu])	Translation Error	Translation Error	-	-
32.9.E3	${\displaystyle{\displaystyle w(z;-\nu^{2}\lambda,0,\nu^{2}(\lambda^{2}-4\kappa% \mu),0)=\dfrac{z^{\nu-1}}{\kappa z^{2\nu}+\lambda z^{\nu}+\mu}}}$ `w(z;-\nu^{2}\lambda,0,\nu^{2}(\lambda^{2}-4\kappa\mu),0) = \dfrac{z^{\nu-1}}{\kappa z^{2\nu}+\lambda z^{\nu}+\mu}`	w(z ; - (nu)^(2)* lambda , 0 , (nu)^(2)((lambda)^(2)- 4kappamu), 0) = ((z)^(nu - 1))/(kappa(z)^(2nu)+ lambda(z)^(nu)+ mu)	w[z ; - \[Nu]^(2)* \[Lambda], 0 , \[Nu]^(2)(\[Lambda]^(2)- 4\[Kappa]\[Mu]), 0] == Divide[(z)^(\[Nu]- 1),\[Kappa](z)^(2\[Nu])+ \[Lambda](z)^\[Nu]+ \[Mu]]	Skipped - no semantic math	Skipped - no semantic math	-	-
32.9.E4	${\displaystyle{\displaystyle\beta=2n}}$ `\beta = 2n`	beta = 2*n	\[Beta] == 2*n	Skipped - no semantic math	Skipped - no semantic math	-	-
32.9.E5	${\displaystyle{\displaystyle w(z)=\ifrac{P_{n^{2}+1}(\zeta)}{Q_{n^{2}}(\zeta)}}}$ `w(z) = \ifrac{P_{n^{2}+1}(\zeta)}{Q_{n^{2}}(\zeta)}`	w(z) = (P[(n)^(2)+ 1](zeta))/(Q[(n)^(2)](zeta))	w[z] == Divide[Subscript[P, (n)^(2)+ 1][\[Zeta]],Subscript[Q, (n)^(2)][\[Zeta]]]	Skipped - no semantic math	Skipped - no semantic math	-	-
32.9.E7	${\displaystyle{\displaystyle w(z;\mu,-\tfrac{1}{8},-\mu\kappa^{2},0)=1+\kappa z% ^{1/2}}}$ `w(z;\mu,-\tfrac{1}{8},-\mu\kappa^{2},0) = 1+\kappa z^{1/2}`	w(z ; mu , -(1)/(8), - mu(kappa)^(2), 0) = 1 + kappa(z)^(1/2)	w[z ; \[Mu], -Divide[1,8], - \[Mu]\[Kappa]^(2), 0] == 1 + \[Kappa](z)^(1/2)	Skipped - no semantic math	Skipped - no semantic math	-	-
32.9.E8	${\displaystyle{\displaystyle w(z;0,0,\mu,-\tfrac{1}{2}\mu^{2})=\kappa\exp\left% (\mu z\right)}}$ `w(z;0,0,\mu,-\tfrac{1}{2}\mu^{2}) = \kappa\exp@{\mu z}`	w(z ; 0 , 0 , mu , -(1)/(2)(mu)^(2)) = kappaexp(mu*z)	w[z ; 0 , 0 , \[Mu], -Divide[1,2]\[Mu]^(2)] == \[Kappa]Exp[\[Mu]*z]	Translation Error	Translation Error	-	-
32.9.E9	${\displaystyle{\displaystyle\mspace{17.0mu }(\alpha,\beta,\gamma)=(\tfrac{1}{2% }\mu^{2},-\tfrac{1}{8}(2n-1)^{2},-1)}}$ `\mspace{17.0mu }(\alpha,\beta,\gamma) = (\tfrac{1}{2}\mu^{2},-\tfrac{1}{8}(2n-1)^{2},-1)`	(alpha , beta , gamma) = ((1)/(2)(mu)^(2), -(1)/(8)(2*n - 1)^(2), - 1)	(\[Alpha], \[Beta], \[Gamma]) == (Divide[1,2]\[Mu]^(2), -Divide[1,8](2*n - 1)^(2), - 1)	Skipped - no semantic math	Skipped - no semantic math	-	-
32.9.E10	${\displaystyle{\displaystyle\mspace{5.0mu }(\alpha,\beta,\gamma)=(\tfrac{1}{8}% (2n-1)^{2},-\tfrac{1}{2}\mu^{2},1)}}$ `\mspace{5.0mu }(\alpha,\beta,\gamma) = (\tfrac{1}{8}(2n-1)^{2},-\tfrac{1}{2}\mu^{2},1)`	(alpha , beta , gamma) = ((1)/(8)(2n - 1)^(2), -(1)/(2)*(mu)^(2), 1)	(\[Alpha], \[Beta], \[Gamma]) == (Divide[1,8](2n - 1)^(2), -Divide[1,2]*\[Mu]^(2), 1)	Skipped - no semantic math	Skipped - no semantic math	-	-
32.9.E11	${\displaystyle{\displaystyle w(z)=\ifrac{P_{n^{2}-n+1}(\zeta)}{Q_{n^{2}-n}(% \zeta)}}}$ `w(z) = \ifrac{P_{n^{2}-n+1}(\zeta)}{Q_{n^{2}-n}(\zeta)}`	w(z) = (P[(n)^(2)- n + 1](zeta))/(Q[(n)^(2)- n](zeta))	w[z] == Divide[Subscript[P, (n)^(2)- n + 1][\[Zeta]],Subscript[Q, (n)^(2)- n][\[Zeta]]]	Skipped - no semantic math	Skipped - no semantic math	-	-
32.9.E13	${\displaystyle{\displaystyle w(z;\tfrac{1}{2}\kappa^{2},-\tfrac{1}{2}\kappa^{2% },\tfrac{1}{2}\mu^{2},\tfrac{1}{2}(1-\mu^{2}))=z^{1/2}}}$ `w(z;\tfrac{1}{2}\kappa^{2},-\tfrac{1}{2}\kappa^{2},\tfrac{1}{2}\mu^{2},\tfrac{1}{2}(1-\mu^{2})) = z^{1/2}`	w(z ;(1)/(2)(kappa)^(2), -(1)/(2)(kappa)^(2),(1)/(2)(mu)^(2),(1)/(2)(1 - (mu)^(2))) = (z)^(1/2)	w[z ;Divide[1,2]\[Kappa]^(2), -Divide[1,2]\[Kappa]^(2),Divide[1,2]\[Mu]^(2),Divide[1,2](1 - \[Mu]^(2))] == (z)^(1/2)	Skipped - no semantic math	Skipped - no semantic math	-	-

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 ! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica
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-| [https://dlmf.nist.gov/32.9.E1 32.9.E1] || [[Item:Q9388|<math>w(z;\mu,0,0,-\mu\kappa^{3}) = \kappa z^{1/3}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z;\mu,0,0,-\mu\kappa^{3}) = \kappa z^{1/3}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z ; mu , 0 , 0 , - mu*(kappa)^(3)) = kappa*(z)^(1/3)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z ; \[Mu], 0 , 0 , - \[Mu]*\[Kappa]^(3)] == \[Kappa]*(z)^(1/3)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.9.E1 32.9.E1] || <math qid="Q9388">w(z;\mu,0,0,-\mu\kappa^{3}) = \kappa z^{1/3}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z;\mu,0,0,-\mu\kappa^{3}) = \kappa z^{1/3}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z ; mu , 0 , 0 , - mu*(kappa)^(3)) = kappa*(z)^(1/3)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z ; \[Mu], 0 , 0 , - \[Mu]*\[Kappa]^(3)] == \[Kappa]*(z)^(1/3)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |-
-| [https://dlmf.nist.gov/32.9.E2 32.9.E2] || [[Item:Q9389|<math>w(z;0,-2\kappa,0,4\kappa\mu-\lambda^{2}) = z(\kappa(\ln@@{z})^{2}+\lambda\ln@@{z}+\mu)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>w(z;0,-2\kappa,0,4\kappa\mu-\lambda^{2}) = z(\kappa(\ln@@{z})^{2}+\lambda\ln@@{z}+\mu)</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>w(z ; 0 , - 2*kappa(,)*0 , 4*kappa(mu)- (lambda)^(2)) = z*((kappa(ln(z)))^(2)+ lambda*ln(z)+ mu)</syntaxhighlight> || <syntaxhighlight lang=mathematica>w[z ; 0 , - 2*\[Kappa][,]*0 , 4*\[Kappa][Mu]- \[Lambda]^(2)] == z*((\[Kappa][Log[z]])^(2)+ \[Lambda]*Log[z]+ \[Mu])</syntaxhighlight> || Translation Error || Translation Error || - || -
+| [https://dlmf.nist.gov/32.9.E2 32.9.E2] || <math qid="Q9389">w(z;0,-2\kappa,0,4\kappa\mu-\lambda^{2}) = z(\kappa(\ln@@{z})^{2}+\lambda\ln@@{z}+\mu)</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>w(z;0,-2\kappa,0,4\kappa\mu-\lambda^{2}) = z(\kappa(\ln@@{z})^{2}+\lambda\ln@@{z}+\mu)</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>w(z ; 0 , - 2*kappa(,)*0 , 4*kappa(mu)- (lambda)^(2)) = z*((kappa(ln(z)))^(2)+ lambda*ln(z)+ mu)</syntaxhighlight> || <syntaxhighlight lang=mathematica>w[z ; 0 , - 2*\[Kappa][,]*0 , 4*\[Kappa][Mu]- \[Lambda]^(2)] == z*((\[Kappa][Log[z]])^(2)+ \[Lambda]*Log[z]+ \[Mu])</syntaxhighlight> || Translation Error || Translation Error || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.9.E3 32.9.E3] || [[Item:Q9390|<math>w(z;-\nu^{2}\lambda,0,\nu^{2}(\lambda^{2}-4\kappa\mu),0) = \dfrac{z^{\nu-1}}{\kappa z^{2\nu}+\lambda z^{\nu}+\mu}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z;-\nu^{2}\lambda,0,\nu^{2}(\lambda^{2}-4\kappa\mu),0) = \dfrac{z^{\nu-1}}{\kappa z^{2\nu}+\lambda z^{\nu}+\mu}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z ; - (nu)^(2)* lambda , 0 , (nu)^(2)*((lambda)^(2)- 4*kappa*mu), 0) = ((z)^(nu - 1))/(kappa*(z)^(2*nu)+ lambda*(z)^(nu)+ mu)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z ; - \[Nu]^(2)* \[Lambda], 0 , \[Nu]^(2)*(\[Lambda]^(2)- 4*\[Kappa]*\[Mu]), 0] == Divide[(z)^(\[Nu]- 1),\[Kappa]*(z)^(2*\[Nu])+ \[Lambda]*(z)^\[Nu]+ \[Mu]]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.9.E3 32.9.E3] || <math qid="Q9390">w(z;-\nu^{2}\lambda,0,\nu^{2}(\lambda^{2}-4\kappa\mu),0) = \dfrac{z^{\nu-1}}{\kappa z^{2\nu}+\lambda z^{\nu}+\mu}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z;-\nu^{2}\lambda,0,\nu^{2}(\lambda^{2}-4\kappa\mu),0) = \dfrac{z^{\nu-1}}{\kappa z^{2\nu}+\lambda z^{\nu}+\mu}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z ; - (nu)^(2)* lambda , 0 , (nu)^(2)*((lambda)^(2)- 4*kappa*mu), 0) = ((z)^(nu - 1))/(kappa*(z)^(2*nu)+ lambda*(z)^(nu)+ mu)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z ; - \[Nu]^(2)* \[Lambda], 0 , \[Nu]^(2)*(\[Lambda]^(2)- 4*\[Kappa]*\[Mu]), 0] == Divide[(z)^(\[Nu]- 1),\[Kappa]*(z)^(2*\[Nu])+ \[Lambda]*(z)^\[Nu]+ \[Mu]]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.9.E4 32.9.E4] || [[Item:Q9391|<math>\beta = 2n</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\beta = 2n</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">beta = 2*n</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">\[Beta] == 2*n</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.9.E4 32.9.E4] || <math qid="Q9391">\beta = 2n</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\beta = 2n</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">beta = 2*n</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">\[Beta] == 2*n</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.9.E5 32.9.E5] || [[Item:Q9392|<math>w(z) = \ifrac{P_{n^{2}+1}(\zeta)}{Q_{n^{2}}(\zeta)}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z) = \ifrac{P_{n^{2}+1}(\zeta)}{Q_{n^{2}}(\zeta)}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z) = (P[(n)^(2)+ 1](zeta))/(Q[(n)^(2)](zeta))</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z] == Divide[Subscript[P, (n)^(2)+ 1][\[Zeta]],Subscript[Q, (n)^(2)][\[Zeta]]]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.9.E5 32.9.E5] || <math qid="Q9392">w(z) = \ifrac{P_{n^{2}+1}(\zeta)}{Q_{n^{2}}(\zeta)}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z) = \ifrac{P_{n^{2}+1}(\zeta)}{Q_{n^{2}}(\zeta)}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z) = (P[(n)^(2)+ 1](zeta))/(Q[(n)^(2)](zeta))</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z] == Divide[Subscript[P, (n)^(2)+ 1][\[Zeta]],Subscript[Q, (n)^(2)][\[Zeta]]]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.9.E7 32.9.E7] || [[Item:Q9394|<math>w(z;\mu,-\tfrac{1}{8},-\mu\kappa^{2},0) = 1+\kappa z^{1/2}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z;\mu,-\tfrac{1}{8},-\mu\kappa^{2},0) = 1+\kappa z^{1/2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z ; mu , -(1)/(8), - mu*(kappa)^(2), 0) = 1 + kappa*(z)^(1/2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z ; \[Mu], -Divide[1,8], - \[Mu]*\[Kappa]^(2), 0] == 1 + \[Kappa]*(z)^(1/2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.9.E7 32.9.E7] || <math qid="Q9394">w(z;\mu,-\tfrac{1}{8},-\mu\kappa^{2},0) = 1+\kappa z^{1/2}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z;\mu,-\tfrac{1}{8},-\mu\kappa^{2},0) = 1+\kappa z^{1/2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z ; mu , -(1)/(8), - mu*(kappa)^(2), 0) = 1 + kappa*(z)^(1/2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z ; \[Mu], -Divide[1,8], - \[Mu]*\[Kappa]^(2), 0] == 1 + \[Kappa]*(z)^(1/2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |-
-| [https://dlmf.nist.gov/32.9.E8 32.9.E8] || [[Item:Q9395|<math>w(z;0,0,\mu,-\tfrac{1}{2}\mu^{2}) = \kappa\exp@{\mu z}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>w(z;0,0,\mu,-\tfrac{1}{2}\mu^{2}) = \kappa\exp@{\mu z}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>w(z ; 0 , 0 , mu , -(1)/(2)*(mu)^(2)) = kappa*exp(mu*z)</syntaxhighlight> || <syntaxhighlight lang=mathematica>w[z ; 0 , 0 , \[Mu], -Divide[1,2]*\[Mu]^(2)] == \[Kappa]*Exp[\[Mu]*z]</syntaxhighlight> || Translation Error || Translation Error || - || -
+| [https://dlmf.nist.gov/32.9.E8 32.9.E8] || <math qid="Q9395">w(z;0,0,\mu,-\tfrac{1}{2}\mu^{2}) = \kappa\exp@{\mu z}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>w(z;0,0,\mu,-\tfrac{1}{2}\mu^{2}) = \kappa\exp@{\mu z}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>w(z ; 0 , 0 , mu , -(1)/(2)*(mu)^(2)) = kappa*exp(mu*z)</syntaxhighlight> || <syntaxhighlight lang=mathematica>w[z ; 0 , 0 , \[Mu], -Divide[1,2]*\[Mu]^(2)] == \[Kappa]*Exp[\[Mu]*z]</syntaxhighlight> || Translation Error || Translation Error || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.9.E9 32.9.E9] || [[Item:Q9396|<math>\mspace{17.0mu }(\alpha,\beta,\gamma) = (\tfrac{1}{2}\mu^{2},-\tfrac{1}{8}(2n-1)^{2},-1)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\mspace{17.0mu }(\alpha,\beta,\gamma) = (\tfrac{1}{2}\mu^{2},-\tfrac{1}{8}(2n-1)^{2},-1)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(alpha , beta , gamma) = ((1)/(2)*(mu)^(2), -(1)/(8)*(2*n - 1)^(2), - 1)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(\[Alpha], \[Beta], \[Gamma]) == (Divide[1,2]*\[Mu]^(2), -Divide[1,8]*(2*n - 1)^(2), - 1)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.9.E9 32.9.E9] || <math qid="Q9396">\mspace{17.0mu }(\alpha,\beta,\gamma) = (\tfrac{1}{2}\mu^{2},-\tfrac{1}{8}(2n-1)^{2},-1)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\mspace{17.0mu }(\alpha,\beta,\gamma) = (\tfrac{1}{2}\mu^{2},-\tfrac{1}{8}(2n-1)^{2},-1)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(alpha , beta , gamma) = ((1)/(2)*(mu)^(2), -(1)/(8)*(2*n - 1)^(2), - 1)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(\[Alpha], \[Beta], \[Gamma]) == (Divide[1,2]*\[Mu]^(2), -Divide[1,8]*(2*n - 1)^(2), - 1)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.9.E10 32.9.E10] || [[Item:Q9397|<math>\mspace{5.0mu }(\alpha,\beta,\gamma) = (\tfrac{1}{8}(2n-1)^{2},-\tfrac{1}{2}\mu^{2},1)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\mspace{5.0mu }(\alpha,\beta,\gamma) = (\tfrac{1}{8}(2n-1)^{2},-\tfrac{1}{2}\mu^{2},1)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(alpha , beta , gamma) = ((1)/(8)*(2*n - 1)^(2), -(1)/(2)*(mu)^(2), 1)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(\[Alpha], \[Beta], \[Gamma]) == (Divide[1,8]*(2*n - 1)^(2), -Divide[1,2]*\[Mu]^(2), 1)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.9.E10 32.9.E10] || <math qid="Q9397">\mspace{5.0mu }(\alpha,\beta,\gamma) = (\tfrac{1}{8}(2n-1)^{2},-\tfrac{1}{2}\mu^{2},1)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\mspace{5.0mu }(\alpha,\beta,\gamma) = (\tfrac{1}{8}(2n-1)^{2},-\tfrac{1}{2}\mu^{2},1)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(alpha , beta , gamma) = ((1)/(8)*(2*n - 1)^(2), -(1)/(2)*(mu)^(2), 1)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(\[Alpha], \[Beta], \[Gamma]) == (Divide[1,8]*(2*n - 1)^(2), -Divide[1,2]*\[Mu]^(2), 1)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.9.E11 32.9.E11] || [[Item:Q9398|<math>w(z) = \ifrac{P_{n^{2}-n+1}(\zeta)}{Q_{n^{2}-n}(\zeta)}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z) = \ifrac{P_{n^{2}-n+1}(\zeta)}{Q_{n^{2}-n}(\zeta)}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z) = (P[(n)^(2)- n + 1](zeta))/(Q[(n)^(2)- n](zeta))</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z] == Divide[Subscript[P, (n)^(2)- n + 1][\[Zeta]],Subscript[Q, (n)^(2)- n][\[Zeta]]]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.9.E11 32.9.E11] || <math qid="Q9398">w(z) = \ifrac{P_{n^{2}-n+1}(\zeta)}{Q_{n^{2}-n}(\zeta)}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z) = \ifrac{P_{n^{2}-n+1}(\zeta)}{Q_{n^{2}-n}(\zeta)}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z) = (P[(n)^(2)- n + 1](zeta))/(Q[(n)^(2)- n](zeta))</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z] == Divide[Subscript[P, (n)^(2)- n + 1][\[Zeta]],Subscript[Q, (n)^(2)- n][\[Zeta]]]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.9.E13 32.9.E13] || [[Item:Q9400|<math>w(z;\tfrac{1}{2}\kappa^{2},-\tfrac{1}{2}\kappa^{2},\tfrac{1}{2}\mu^{2},\tfrac{1}{2}(1-\mu^{2})) = z^{1/2}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z;\tfrac{1}{2}\kappa^{2},-\tfrac{1}{2}\kappa^{2},\tfrac{1}{2}\mu^{2},\tfrac{1}{2}(1-\mu^{2})) = z^{1/2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z ;(1)/(2)*(kappa)^(2), -(1)/(2)*(kappa)^(2),(1)/(2)*(mu)^(2),(1)/(2)*(1 - (mu)^(2))) = (z)^(1/2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z ;Divide[1,2]*\[Kappa]^(2), -Divide[1,2]*\[Kappa]^(2),Divide[1,2]*\[Mu]^(2),Divide[1,2]*(1 - \[Mu]^(2))] == (z)^(1/2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.9.E13 32.9.E13] || <math qid="Q9400">w(z;\tfrac{1}{2}\kappa^{2},-\tfrac{1}{2}\kappa^{2},\tfrac{1}{2}\mu^{2},\tfrac{1}{2}(1-\mu^{2})) = z^{1/2}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z;\tfrac{1}{2}\kappa^{2},-\tfrac{1}{2}\kappa^{2},\tfrac{1}{2}\mu^{2},\tfrac{1}{2}(1-\mu^{2})) = z^{1/2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z ;(1)/(2)*(kappa)^(2), -(1)/(2)*(kappa)^(2),(1)/(2)*(mu)^(2),(1)/(2)*(1 - (mu)^(2))) = (z)^(1/2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z ;Divide[1,2]*\[Kappa]^(2), -Divide[1,2]*\[Kappa]^(2),Divide[1,2]*\[Mu]^(2),Divide[1,2]*(1 - \[Mu]^(2))] == (z)^(1/2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |}
 </div>

32.9: Difference between revisions

Latest revision as of 12:13, 28 June 2021

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