28.19: Difference between revisions

Latest revision as of 12:08, 28 June 2021

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
28.19.E4	${\displaystyle{\displaystyle e^{\mathrm{i}\nu z}=\sum_{n=-\infty}^{\infty}c^{% \nu+2n}_{-2n}(q)\mathrm{me}_{\nu+2n}\left(z,q\right)}}$ `e^{\iunit\nu z} = \sum_{n=-\infty}^{\infty}c^{\nu+2n}_{-2n}(q)\Mathieume{\nu+2n}@{z}{q}`		Error	Exp[I\[Nu]z] == Sum[(Subscript[c, - 2n])^(\[Nu]+ 2n)[q]* Sqrt[2]MathieuC[\[Nu]+ 2n, q, z], {n, - Infinity, Infinity}, GenerateConditions->None]	Missing Macro Error	Failure	-	Skipped - Because timed out

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 ! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica
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-| [https://dlmf.nist.gov/28.19.E4 28.19.E4] || [[Item:Q8332|<math>e^{\iunit\nu z} = \sum_{n=-\infty}^{\infty}c^{\nu+2n}_{-2n}(q)\Mathieume{\nu+2n}@{z}{q}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>e^{\iunit\nu z} = \sum_{n=-\infty}^{\infty}c^{\nu+2n}_{-2n}(q)\Mathieume{\nu+2n}@{z}{q}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || <syntaxhighlight lang=mathematica>Exp[I*\[Nu]*z] == Sum[(Subscript[c, - 2*n])^(\[Nu]+ 2*n)[q]* Sqrt[2]*MathieuC[\[Nu]+ 2*n, q, z], {n, - Infinity, Infinity}, GenerateConditions->None]</syntaxhighlight> || Missing Macro Error || Failure || - || Skipped - Because timed out
+| [https://dlmf.nist.gov/28.19.E4 28.19.E4] || <math qid="Q8332">e^{\iunit\nu z} = \sum_{n=-\infty}^{\infty}c^{\nu+2n}_{-2n}(q)\Mathieume{\nu+2n}@{z}{q}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>e^{\iunit\nu z} = \sum_{n=-\infty}^{\infty}c^{\nu+2n}_{-2n}(q)\Mathieume{\nu+2n}@{z}{q}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || <syntaxhighlight lang=mathematica>Exp[I*\[Nu]*z] == Sum[(Subscript[c, - 2*n])^(\[Nu]+ 2*n)[q]* Sqrt[2]*MathieuC[\[Nu]+ 2*n, q, z], {n, - Infinity, Infinity}, GenerateConditions->None]</syntaxhighlight> || Missing Macro Error || Failure || - || Skipped - Because timed out
 |}
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