DLMF:22.14.E15 (Q7090): Difference between revisions

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Latest revision as of 15:25, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:22.14.E15	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int\frac{\operatorname{cn}\left(x,k\right)\mathrm% {d}x}{{\operatorname{sn}^{2}}\left(x,k\right)}=-\frac{\operatorname{dn}\left(x% ,k\right)}{\operatorname{sn}\left(x,k\right)}.}}

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DLMF:22.14.E15

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Jacobian elliptic function

Defining formula

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

C22.S2.E5.m2addec

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m2aedec

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m2addec

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Defining formula

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

C1.S4.SS4.m1andec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3andec

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Defining formula

{\displaystyle{\displaystyle x}}

C22.S1.XMD1.m1ndec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1ndec

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