DLMF:22.16.E21 (Q7141)

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Language	Label	Description	Also known as
English	DLMF:22.16.E21	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathcal{E}\left(x,k\right)=-\int_{0}^{x}{% \operatorname{dc}^{2}}\left(t,k\right)\mathrm{d}t+x+\operatorname{sn}\left(x,k% \right)\operatorname{dc}\left(x,k\right),}}

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DLMF:22.16.E21

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Jacobi’s epsilon function

Defining formula

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

C22.S16.E14.m2agdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E8.m3adec

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m2agdec

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Defining formula

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

C1.S4.SS4.m1ahdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3ahdec

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Defining formula

{\displaystyle{\displaystyle x}}

C22.S1.XMD1.m1tdec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1rdec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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