DLMF:22.6.E4 (Q6938)

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DLMF:22.6.E4
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    Statements

    - k 2 k 2 sd 2 ( z , k ) = k 2 ( cd 2 ( z , k ) - 1 ) = k 2 ( 1 - nd 2 ( z , k ) ) . superscript 𝑘 2 superscript superscript 𝑘 2 Jacobi-elliptic-sd 2 𝑧 𝑘 superscript 𝑘 2 Jacobi-elliptic-cd 2 𝑧 𝑘 1 superscript superscript 𝑘 2 1 Jacobi-elliptic-nd 2 𝑧 𝑘 {\displaystyle{\displaystyle-k^{2}{k^{\prime}}^{2}{\operatorname{sd}^{2}}\left% (z,k\right)=k^{2}({\operatorname{cd}^{2}}\left(z,k\right)-1)={k^{\prime}}^{2}(% 1-{\operatorname{nd}^{2}}\left(z,k\right)).}}
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    DLMF:22.6.E4
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    cd ( z , k ) Jacobi-elliptic-cd 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{cd}\left(\NVar{z},\NVar{k}\right)}}
    C22.S2.E8.m2adec
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