DLMF:22.14.E8 (Q7083): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:22.14.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int\operatorname{nc}\left(x,k\right)\mathrm{d}x={% k^{\prime}}^{-1}\ln\left(\operatorname{dc}\left(x,k\right)+k^{\prime}% \operatorname{sc}\left(x,k\right)\right),}}

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DLMF:22.14.E8

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Jacobian elliptic function

Defining formula

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

C22.S2.E8.m3aadec

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Jacobian elliptic function

Defining formula

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

C22.S2.E5.m3aadec

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Jacobian elliptic function

Defining formula

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

C22.S2.E9.m2aadec

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Defining formula

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

C1.S4.SS4.m1agdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3agdec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2acdec

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Defining formula

{\displaystyle{\displaystyle x}}

C22.S1.XMD1.m1gdec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1gdec

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Defining formula

{\displaystyle{\displaystyle k^{\prime}}}

C22.S1.XMD5.m1bdec

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Sitelinks

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