DLMF:29.15.E50 (Q8795): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:29.15.E50	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathit{scdE}^{m}_{2n+3}\left(z,k^{2}\right)=% \operatorname{cn}\left(z,k\right)\operatorname{dn}\left(z,k\right)\sum_{p=0}^{% n}D_{2p+2}U_{2p+1}\left(\operatorname{sn}\left(z,k\right)\right).}}

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DLMF:29.15.E50

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Defining formula

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

C18.S3.T1.t1.r5.m2acdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E5.m2acdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m2agdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m2agdec

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Lamé polynomial

Defining formula

{\displaystyle{\displaystyle\mathit{scdE}^{\NVar{m}}_{2\NVar{n}+3}\left(\NVar{% z},\NVar{k^{2}}\right)}}

C29.S12.E8.m2aadec

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Defining formula

{\displaystyle{\displaystyle m}}

C29.S1.XMD1.m1wdec

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Defining formula

{\displaystyle{\displaystyle n}}

C29.S1.XMD2.m1aodec

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Defining formula

{\displaystyle{\displaystyle p}}

C29.S1.XMD3.m1aedec

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Defining formula

{\displaystyle{\displaystyle z}}

C29.S1.XMD6.m1odec

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Defining formula

{\displaystyle{\displaystyle k}}

C29.S1.XMD8.m1aadec

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Defining formula

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

C29.S6.XMD10.m1dec

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Sitelinks

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