DLMF:22.16.E17 (Q7137)

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Language	Label	Description	Also known as
English	DLMF:22.16.E17	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathcal{E}\left(x,k\right)=\int_{0}^{x}{% \operatorname{dn}^{2}}\left(t,k\right)\mathrm{d}t.}}

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DLMF:22.16.E17

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Jacobi’s epsilon function

Defining formula

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

C22.S16.E14.m2acdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m2aadec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1addec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3addec

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Defining formula

{\displaystyle{\displaystyle x}}

C22.S1.XMD1.m1pdec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1ndec

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Sitelinks

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