DLMF:29.15.E18 (Q8763)

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Language	Label	Description	Also known as
English	DLMF:29.15.E18	No description defined

Statements

Defining formula

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

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DLMF:29.15.E18

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m2adec

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Lamé polynomial

Defining formula

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

C29.S12.E4.m2adec

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cosine function

Defining formula

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

C4.S14.E2.m2abdec

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Defining formula

{\displaystyle{\displaystyle m}}

C29.S1.XMD1.m1fdec

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Defining formula

{\displaystyle{\displaystyle n}}

C29.S1.XMD2.m1ndec

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Defining formula

{\displaystyle{\displaystyle p}}

C29.S1.XMD3.m1idec

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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.m1fdec

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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 C_{2p+1}}}

C29.S6.XMD7.m1dec

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