DLMF:29.6.E38 (Q8668): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:29.6.E38	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathit{Es}^{2m+1}_{\nu}\left(z,k^{2}\right)=% \operatorname{dn}\left(z,k\right)\sum_{p=0}^{\infty}D_{2p+1}\sin\left((2p+1)% \phi\right),}}

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DLMF:29.6.E38

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m2abdec

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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.m6aadec

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Defining formula

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

C4.S14.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle m}}

C29.S1.XMD1.m1odec

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Defining formula

{\displaystyle{\displaystyle p}}

C29.S1.XMD3.m1acdec

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Defining formula

{\displaystyle{\displaystyle z}}

C29.S1.XMD6.m1edec

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Defining formula

{\displaystyle{\displaystyle k}}

C29.S1.XMD8.m1sdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C29.S1.XMD9.m1qdec

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change of variable (locally)

Defining formula

{\displaystyle{\displaystyle\phi}}

C29.S2.XMD3.m1cdec

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Defining formula

{\displaystyle{\displaystyle D_{2p+1}}}

C29.S6.XMD10.m1dec

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Sitelinks

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