DLMF:22.6.E12 (Q6946)

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Language	Label	Description	Also known as
English	DLMF:22.6.E12	No description defined

Statements

Defining formula

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

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DLMF:22.6.E12

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Jacobian elliptic function

Defining formula

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

C22.S2.E8.m3abdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E5.m3abdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E9.m2abdec

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