DLMF:22.6.E11 (Q6945): Difference between revisions

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Latest revision as of 14:58, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:22.6.E11	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{dc}\left(2z,k\right)=\frac{{% \operatorname{dc}^{2}}\left(z,k\right)+{k^{\prime}}^{2}{\operatorname{sc}^{2}}% \left(z,k\right){\operatorname{nc}^{2}}\left(z,k\right)}{1-{k^{\prime}}^{2}{% \operatorname{sc}^{4}}\left(z,k\right)},}}

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DLMF:22.6.E11

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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 z}}

C22.S1.XMD3.m1jdec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1jdec

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Defining formula

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

C22.S1.XMD5.m1gdec

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