DLMF:22.7.E8 (Q6965)

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Language	Label	Description	Also known as
English	DLMF:22.7.E8	No description defined

Statements

Defining formula

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

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DLMF:22.7.E8

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m2addec

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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1edec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1fdec

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Defining formula

{\displaystyle{\displaystyle k_{2}}}

C22.S7.XMD2.m1cdec

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Defining formula

{\displaystyle{\displaystyle k_{2}^{\prime}}}

C22.S7.XMD3.m1cdec

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