DLMF:29.6.E53 (Q8685)

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Language	Label	Description	Also known as
English	DLMF:29.6.E53	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathit{Es}^{2m+2}_{\nu}\left(z,k^{2}\right)=% \operatorname{dn}\left(z,k\right)\sum_{p=1}^{\infty}D_{2p}\sin\left(2p\phi% \right),}}

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DLMF:29.6.E53

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m2acdec

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Defining formula

{\displaystyle{\displaystyle\mathit{Es}^{\NVar{m}}_{\NVar{\nu}}\left(\NVar{z},% \NVar{k^{2}}\right)}}

C29.S3.SS4.p1.m6addec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2acdec

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Defining formula

{\displaystyle{\displaystyle m}}

C29.S1.XMD1.m1udec

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Defining formula

{\displaystyle{\displaystyle p}}

C29.S1.XMD3.m1aodec

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Defining formula

{\displaystyle{\displaystyle z}}

C29.S1.XMD6.m1gdec

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Defining formula

{\displaystyle{\displaystyle k}}

C29.S1.XMD8.m1aadec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C29.S1.XMD9.m1xdec

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change of variable (locally)

Defining formula

{\displaystyle{\displaystyle\phi}}

C29.S2.XMD3.m1edec

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Defining formula

{\displaystyle{\displaystyle D_{2p}}}

C29.S6.XMD13.m1dec

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Sitelinks

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