DLMF:22.16.E31 (Q7151)

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Language	Label	Description	Also known as
English	DLMF:22.16.E31	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle E\left(\operatorname{am}\left(x,k\right),k\right)% =\mathcal{E}\left(x,k\right),}}

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DLMF:22.16.E31

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{\displaystyle{\displaystyle-K\leq x\leq K}}

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Jacobi’s epsilon function

Defining formula

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

C22.S16.E14.m2aqdec

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Jacobi’s amplitude function

Defining formula

{\displaystyle{\displaystyle\operatorname{am}\left(\NVar{x},\NVar{k}\right)}}

C22.S16.E1.m2aldec

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Sitelinks

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