DLMF:29.15.E49 (Q8794)

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Language	Label	Description	Also known as
English	DLMF:29.15.E49	No description defined

Statements

Defining formula

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

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DLMF:29.15.E49

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Defining formula

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

C18.S3.T1.t1.r5.m2abdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E5.m2abdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m2afdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m2afdec

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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.m2aadec

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Defining formula

{\displaystyle{\displaystyle m}}

C29.S1.XMD1.m1vdec

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Defining formula

{\displaystyle{\displaystyle n}}

C29.S1.XMD2.m1andec

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Defining formula

{\displaystyle{\displaystyle p}}

C29.S1.XMD3.m1addec

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Defining formula

{\displaystyle{\displaystyle z}}

C29.S1.XMD6.m1ndec

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Defining formula

{\displaystyle{\displaystyle k}}

C29.S1.XMD8.m1zdec

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Defining formula

{\displaystyle{\displaystyle D_{2p}}}

C29.S6.XMD13.m1hdec

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Sitelinks

Wikipedia(0 entries)

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