DLMF:22.7.E7 (Q6964)

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DLMF:22.7.E7
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    cn ( z , k ) = ( 1 + k 2 ) ( dn 2 ( z / ( 1 + k 2 ) , k 2 ) - k 2 ) k 2 2 dn ( z / ( 1 + k 2 ) , k 2 ) , Jacobi-elliptic-cn 𝑧 𝑘 1 superscript subscript 𝑘 2 Jacobi-elliptic-dn 2 𝑧 1 superscript subscript 𝑘 2 subscript 𝑘 2 superscript subscript 𝑘 2 superscript subscript 𝑘 2 2 Jacobi-elliptic-dn 𝑧 1 superscript subscript 𝑘 2 subscript 𝑘 2 {\displaystyle{\displaystyle\operatorname{cn}\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.E7
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    cn ( z , k ) Jacobi-elliptic-cn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{cn}\left(\NVar{z},\NVar{k}\right)}}
    C22.S2.E5.m2abdec
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