DLMF:29.15.E48 (Q8793)

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Language	Label	Description	Also known as
English	DLMF:29.15.E48	No description defined

Statements

Defining formula

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

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DLMF:29.15.E48

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Defining formula

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

C18.S3.T1.t1.r4.m2acdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m2aedec

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m2aedec

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Lamé polynomial

Defining formula

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

C29.S12.E6.m2aadec

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