DLMF:22.16.E27 (Q7147)

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Language	Label	Description	Also known as
English	DLMF:22.16.E27	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathcal{E}\left(x_{1}+x_{2},k\right)=\mathcal{E}% \left(x_{1},k\right)+\mathcal{E}\left(x_{2},k\right)-k^{2}\operatorname{sn}% \left(x_{1},k\right)\operatorname{sn}\left(x_{2},k\right)\operatorname{sn}% \left(x_{1}+x_{2},k\right),}}

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DLMF:22.16.E27

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Jacobi’s epsilon function

Defining formula

{\displaystyle{\displaystyle\mathcal{E}\left(\NVar{x},\NVar{k}\right)}}

C22.S16.E14.m2amdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m2ajdec

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Defining formula

{\displaystyle{\displaystyle x}}

C22.S1.XMD1.m1zdec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1xdec

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Sitelinks

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