DLMF:29.15.E33 (Q8778)

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Language	Label	Description	Also known as
English	DLMF:29.15.E33	No description defined

Statements

Defining formula

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

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DLMF:29.15.E33

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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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Lamé polynomial

Defining formula

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

C29.S12.E7.m2adec

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Defining formula

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

C4.S14.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle m}}

C29.S1.XMD1.m1ldec

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Defining formula

{\displaystyle{\displaystyle n}}

C29.S1.XMD2.m1zdec

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Defining formula

{\displaystyle{\displaystyle p}}

C29.S1.XMD3.m1rdec

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Defining formula

{\displaystyle{\displaystyle z}}

C29.S1.XMD6.m1fdec

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Sitelinks

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