30.11: Difference between revisions

Latest revision as of 12:10, 28 June 2021

DLMF	Formula	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
30.11#Ex5	${\displaystyle{\displaystyle S^{m(3)}_{n}\left(z,\gamma\right)=S^{m(1)}_{n}% \left(z,\gamma\right)+\mathrm{i}S^{m(2)}_{n}\left(z,\gamma\right)}}$ `\radsphwaveS{m}{3}{n}@{z}{\gamma} = \radsphwaveS{m}{1}{n}@{z}{\gamma}+\iunit\radsphwaveS{m}{2}{n}@{z}{\gamma}`	Error	SpheroidalS3[n, m, z, \[Gamma]] == SpheroidalS1[n, m, z, \[Gamma]]+ I*SpheroidalS2[n, m, z, \[Gamma]]	Missing Macro Error	Failure	-	Skipped - Because timed out
30.11#Ex6	${\displaystyle{\displaystyle S^{m(4)}_{n}\left(z,\gamma\right)=S^{m(1)}_{n}% \left(z,\gamma\right)-\mathrm{i}S^{m(2)}_{n}\left(z,\gamma\right)}}$ `\radsphwaveS{m}{4}{n}@{z}{\gamma} = \radsphwaveS{m}{1}{n}@{z}{\gamma}-\iunit\radsphwaveS{m}{2}{n}@{z}{\gamma}`	Error	SpheroidalS4[n, m, z, \[Gamma]] == SpheroidalS1[n, m, z, \[Gamma]]- I*SpheroidalS2[n, m, z, \[Gamma]]	Missing Macro Error	Failure	-	Skipped - Because timed out
30.11.E7	${\displaystyle{\displaystyle\mathscr{W}\left\{S^{m(1)}_{n}\left(z,\gamma\right% ),S^{m(2)}_{n}\left(z,\gamma\right)\right\}=\frac{1}{\gamma(z^{2}-1)}}}$ `\Wronskian@{\radsphwaveS{m}{1}{n}@{z}{\gamma},\radsphwaveS{m}{2}{n}@{z}{\gamma}} = \frac{1}{\gamma(z^{2}-1)}`	Error	Wronskian[{SpheroidalS1[n, m, z, \[Gamma]], SpheroidalS2[n, m, z, \[Gamma]]}, z] == Divide[1,\[Gamma]*((z)^(2)- 1)]	Missing Macro Error	Failure	-	Error

@@ Line 14: / Line 14: @@
 ! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica
 |-
-| [https://dlmf.nist.gov/30.11#Ex5 30.11#Ex5] || [[Item:Q8899|<math>\radsphwaveS{m}{3}{n}@{z}{\gamma} = \radsphwaveS{m}{1}{n}@{z}{\gamma}+\iunit\radsphwaveS{m}{2}{n}@{z}{\gamma}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\radsphwaveS{m}{3}{n}@{z}{\gamma} = \radsphwaveS{m}{1}{n}@{z}{\gamma}+\iunit\radsphwaveS{m}{2}{n}@{z}{\gamma}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || <syntaxhighlight lang=mathematica>SpheroidalS3[n, m, z, \[Gamma]] == SpheroidalS1[n, m, z, \[Gamma]]+ I*SpheroidalS2[n, m, z, \[Gamma]]</syntaxhighlight> || Missing Macro Error || Failure || - || Skipped - Because timed out
+| [https://dlmf.nist.gov/30.11#Ex5 30.11#Ex5] || <math qid="Q8899">\radsphwaveS{m}{3}{n}@{z}{\gamma} = \radsphwaveS{m}{1}{n}@{z}{\gamma}+\iunit\radsphwaveS{m}{2}{n}@{z}{\gamma}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\radsphwaveS{m}{3}{n}@{z}{\gamma} = \radsphwaveS{m}{1}{n}@{z}{\gamma}+\iunit\radsphwaveS{m}{2}{n}@{z}{\gamma}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || <syntaxhighlight lang=mathematica>SpheroidalS3[n, m, z, \[Gamma]] == SpheroidalS1[n, m, z, \[Gamma]]+ I*SpheroidalS2[n, m, z, \[Gamma]]</syntaxhighlight> || Missing Macro Error || Failure || - || Skipped - Because timed out
 |-
-| [https://dlmf.nist.gov/30.11#Ex6 30.11#Ex6] || [[Item:Q8900|<math>\radsphwaveS{m}{4}{n}@{z}{\gamma} = \radsphwaveS{m}{1}{n}@{z}{\gamma}-\iunit\radsphwaveS{m}{2}{n}@{z}{\gamma}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\radsphwaveS{m}{4}{n}@{z}{\gamma} = \radsphwaveS{m}{1}{n}@{z}{\gamma}-\iunit\radsphwaveS{m}{2}{n}@{z}{\gamma}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || <syntaxhighlight lang=mathematica>SpheroidalS4[n, m, z, \[Gamma]] == SpheroidalS1[n, m, z, \[Gamma]]- I*SpheroidalS2[n, m, z, \[Gamma]]</syntaxhighlight> || Missing Macro Error || Failure || - || Skipped - Because timed out
+| [https://dlmf.nist.gov/30.11#Ex6 30.11#Ex6] || <math qid="Q8900">\radsphwaveS{m}{4}{n}@{z}{\gamma} = \radsphwaveS{m}{1}{n}@{z}{\gamma}-\iunit\radsphwaveS{m}{2}{n}@{z}{\gamma}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\radsphwaveS{m}{4}{n}@{z}{\gamma} = \radsphwaveS{m}{1}{n}@{z}{\gamma}-\iunit\radsphwaveS{m}{2}{n}@{z}{\gamma}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || <syntaxhighlight lang=mathematica>SpheroidalS4[n, m, z, \[Gamma]] == SpheroidalS1[n, m, z, \[Gamma]]- I*SpheroidalS2[n, m, z, \[Gamma]]</syntaxhighlight> || Missing Macro Error || Failure || - || Skipped - Because timed out
 |-
-| [https://dlmf.nist.gov/30.11.E7 30.11.E7] || [[Item:Q8902|<math>\Wronskian@{\radsphwaveS{m}{1}{n}@{z}{\gamma},\radsphwaveS{m}{2}{n}@{z}{\gamma}} = \frac{1}{\gamma(z^{2}-1)}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\Wronskian@{\radsphwaveS{m}{1}{n}@{z}{\gamma},\radsphwaveS{m}{2}{n}@{z}{\gamma}} = \frac{1}{\gamma(z^{2}-1)}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || <syntaxhighlight lang=mathematica>Wronskian[{SpheroidalS1[n, m, z, \[Gamma]], SpheroidalS2[n, m, z, \[Gamma]]}, z] == Divide[1,\[Gamma]*((z)^(2)- 1)]</syntaxhighlight> || Missing Macro Error || Failure || - || Error
+| [https://dlmf.nist.gov/30.11.E7 30.11.E7] || <math qid="Q8902">\Wronskian@{\radsphwaveS{m}{1}{n}@{z}{\gamma},\radsphwaveS{m}{2}{n}@{z}{\gamma}} = \frac{1}{\gamma(z^{2}-1)}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\Wronskian@{\radsphwaveS{m}{1}{n}@{z}{\gamma},\radsphwaveS{m}{2}{n}@{z}{\gamma}} = \frac{1}{\gamma(z^{2}-1)}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || <syntaxhighlight lang=mathematica>Wronskian[{SpheroidalS1[n, m, z, \[Gamma]], SpheroidalS2[n, m, z, \[Gamma]]}, z] == Divide[1,\[Gamma]*((z)^(2)- 1)]</syntaxhighlight> || Missing Macro Error || Failure || - || Error
 |}
 </div>

30.11: Difference between revisions

Latest revision as of 12:10, 28 June 2021

Navigation menu

Search