DLMF:29.15.E45 (Q8790)

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Language	Label	Description	Also known as
English	DLMF:29.15.E45	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathit{cE}^{m}_{2n+1}\left(z,k^{2}\right)=% \operatorname{cn}\left(z,k\right)\sum_{p=0}^{n}B_{2p+1}U_{2p}\left(% \operatorname{sn}\left(z,k\right)\right),}}

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DLMF:29.15.E45

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Defining formula

{\displaystyle{\displaystyle U_{\NVar{n}}\left(\NVar{x}\right)}}

C18.S3.T1.t1.r5.m2adec

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Jacobian elliptic function

Defining formula

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

C22.S2.E5.m2adec

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m2abdec

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Lamé polynomial

Defining formula

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

C29.S12.E3.m2aadec

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Defining formula

{\displaystyle{\displaystyle m}}

C29.S1.XMD1.m1rdec

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Defining formula

{\displaystyle{\displaystyle n}}

C29.S1.XMD2.m1ajdec

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Defining formula

{\displaystyle{\displaystyle p}}

C29.S1.XMD3.m1zdec

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Defining formula

{\displaystyle{\displaystyle z}}

C29.S1.XMD6.m1jdec

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Sitelinks

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