DLMF:22.6.E11 (Q6945): Difference between revisions

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DLMF:22.6.E11
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    dc ( 2 z , k ) = dc 2 ( z , k ) + k 2 sc 2 ( z , k ) nc 2 ( z , k ) 1 - k 2 sc 4 ( z , k ) , Jacobi-elliptic-dc 2 𝑧 𝑘 Jacobi-elliptic-dc 2 𝑧 𝑘 superscript superscript 𝑘 2 Jacobi-elliptic-sc 2 𝑧 𝑘 Jacobi-elliptic-nc 2 𝑧 𝑘 1 superscript superscript 𝑘 2 Jacobi-elliptic-sc 4 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{dc}\left(2z,k\right)=\frac{{% \operatorname{dc}^{2}}\left(z,k\right)+{k^{\prime}}^{2}{\operatorname{sc}^{2}}% \left(z,k\right){\operatorname{nc}^{2}}\left(z,k\right)}{1-{k^{\prime}}^{2}{% \operatorname{sc}^{4}}\left(z,k\right)},}}
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    DLMF:22.6.E11
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