DLMF:22.7.E4 (Q6960)

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Language	Label	Description	Also known as
English	DLMF:22.7.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{dn}\left(z,k\right)=\frac{{% \operatorname{dn}^{2}}\left(z/(1+k_{1}),k_{1}\right)-(1-k_{1})}{1+k_{1}-{% \operatorname{dn}^{2}}\left(z/(1+k_{1}),k_{1}\right)}.}}

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DLMF:22.7.E4

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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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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1bdec

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