DLMF:29.6.E23 (Q8651)

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Language	Label	Description	Also known as
English	DLMF:29.6.E23	No description defined

Statements

Defining formula

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

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DLMF:29.6.E23

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m2aadec

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Defining formula

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

C29.S3.SS4.p1.m5addec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2acdec

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Defining formula

{\displaystyle{\displaystyle m}}

C29.S1.XMD1.m1idec

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Defining formula

{\displaystyle{\displaystyle p}}

C29.S1.XMD3.m1qdec

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Defining formula

{\displaystyle{\displaystyle z}}

C29.S1.XMD6.m1cdec

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Defining formula

{\displaystyle{\displaystyle k}}

C29.S1.XMD8.m1kdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C29.S1.XMD9.m1jdec

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change of variable (locally)

Defining formula

{\displaystyle{\displaystyle\phi}}

C29.S2.XMD3.m1adec

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Defining formula

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

C29.S6.XMD7.m1dec

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Sitelinks

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