DLMF:22.6.E4 (Q6938)

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DLMF:22.6.E4
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    Defining formula
    - 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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