DLMF:22.6.E14 (Q6948)

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Language	Label	Description	Also known as
English	DLMF:22.6.E14	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{ns}\left(2z,k\right)=\frac{{% \operatorname{ns}^{4}}\left(z,k\right)-k^{2}}{2\operatorname{cs}\left(z,k% \right)\operatorname{ds}\left(z,k\right)\operatorname{ns}\left(z,k\right)},}}

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DLMF:22.6.E14

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Jacobian elliptic function

Defining formula

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

C22.S2.E9.m3aadec

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Jacobian elliptic function

Defining formula

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

C22.S2.E7.m3aadec

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