DLMF:29.15.E46 (Q8791)

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Language	Label	Description	Also known as
English	DLMF:29.15.E46	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}T% _{2p}\left(\operatorname{sn}\left(z,k\right)\right)\right),}}

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DLMF:29.15.E46

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Defining formula

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

C18.S3.T1.t1.r4.m2abdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m2addec

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m2acdec

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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.m2aadec

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Defining formula

{\displaystyle{\displaystyle m}}

C29.S1.XMD1.m1sdec

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Defining formula

{\displaystyle{\displaystyle n}}

C29.S1.XMD2.m1akdec

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Defining formula

{\displaystyle{\displaystyle p}}

C29.S1.XMD3.m1aadec

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Defining formula

{\displaystyle{\displaystyle z}}

C29.S1.XMD6.m1kdec

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Defining formula

{\displaystyle{\displaystyle k}}

C29.S1.XMD8.m1wdec

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Sitelinks

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