DLMF:22.6.E15 (Q6949)

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DLMF:22.6.E15
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    ds ( 2 z , k ) = k 2 k 2 + ds 4 ( z , k ) 2 cs ( z , k ) ds ( z , k ) ns ( z , k ) , Jacobi-elliptic-ds 2 𝑧 𝑘 superscript 𝑘 2 superscript superscript 𝑘 2 Jacobi-elliptic-ds 4 𝑧 𝑘 2 Jacobi-elliptic-cs 𝑧 𝑘 Jacobi-elliptic-ds 𝑧 𝑘 Jacobi-elliptic-ns 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{ds}\left(2z,k\right)=\frac{k^{2}{k^{% \prime}}^{2}+{\operatorname{ds}^{4}}\left(z,k\right)}{2\operatorname{cs}\left(% z,k\right)\operatorname{ds}\left(z,k\right)\operatorname{ns}\left(z,k\right)},}}
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    DLMF:22.6.E15
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