DLMF:29.15.E45 (Q8790): Difference between revisions

Revision as of 01:36, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:29.15.E45	No description defined

{\displaystyle{\displaystyle\mathit{cE}^{m}_{2n+1}\left(z,k^{2}\right)=% \operatorname{cn}\left(z,k\right)\sum_{p=0}^{n}B_{2p+1}U_{2p}\left(% \operatorname{sn}\left(z,k\right)\right),}}

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DLMF:29.15.E45

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{\displaystyle{\displaystyle U_{\NVar{n}}\left(\NVar{x}\right)}}

C18.S3.T1.t1.r5.m2adec

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{\displaystyle{\displaystyle\operatorname{cn}\left(\NVar{z},\NVar{k}\right)}}

C22.S2.E5.m2adec

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@@ Property / Symbols used @@
+Jacobian elliptic function
@@ Property / Symbols used: Jacobian elliptic function / rank @@
+Normal rank
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{cn}\left(\NVar{z},\NVar{k}\right)}}$ 
\Jacobiellcnk@{\NVar{z}}{\NVar{k}}
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+xml-id: C22.S2.E5.m2adec