DLMF:22.6.E5 (Q6939)

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Language	Label	Description	Also known as
English	DLMF:22.6.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{sn}\left(2z,k\right)=\frac{2% \operatorname{sn}\left(z,k\right)\operatorname{cn}\left(z,k\right)% \operatorname{dn}\left(z,k\right)}{1-k^{2}{\operatorname{sn}^{4}}\left(z,k% \right)},}}

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DLMF:22.6.E5

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Jacobian elliptic function

Defining formula

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

C22.S2.E5.m2aadec

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m2aadec

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m2aadec

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