DLMF:29.15.E44 (Q8789): 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.E44	No description defined

{\displaystyle{\displaystyle\mathit{sE}^{m}_{2n+1}\left(z,k^{2}\right)=\sum_{p% =0}^{n}A_{2p+1}T_{2p+1}\left(\operatorname{sn}\left(z,k\right)\right),}}

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DLMF:29.15.E44

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

C18.S3.T1.t1.r4.m2aadec

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

C22.S2.E4.m2aadec

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{\displaystyle{\displaystyle\mathit{sE}^{\NVar{m}}_{2\NVar{n}+1}\left(\NVar{z}% ,\NVar{k^{2}}\right)}}

C29.S12.E2.m2aadec

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@@ Property / Symbols used @@
+Lamé polynomial
@@ Property / Symbols used: Lamé polynomial / rank @@
+Normal rank
@@ Property / Symbols used: Lamé polynomial / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathit{sE}^{\NVar{m}}_{2\NVar{n}+1}\left(\NVar{z}% ,\NVar{k^{2}}\right)}}$ 
\LamepolysE{\NVar{m}}{2\NVar{n}+1}@{\NVar{z}}{\NVar{k^{2}}}
@@ Property / Symbols used: Lamé polynomial / qualifier @@
+xml-id: C29.S12.E2.m2aadec