DLMF:22.6.E5 (Q6939)

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DLMF:22.6.E5
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    sn ( 2 z , k ) = 2 sn ( z , k ) cn ( z , k ) dn ( z , k ) 1 - k 2 sn 4 ( z , k ) , Jacobi-elliptic-sn 2 𝑧 𝑘 2 Jacobi-elliptic-sn 𝑧 𝑘 Jacobi-elliptic-cn 𝑧 𝑘 Jacobi-elliptic-dn 𝑧 𝑘 1 superscript 𝑘 2 Jacobi-elliptic-sn 4 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{sn}\left(2z,k\right)=\frac{2% \operatorname{sn}\left(z,k\right)\operatorname{cn}\left(z,k\right)% \operatorname{dn}\left(z,k\right)}{1-k^{2}{\operatorname{sn}^{4}}\left(z,k% \right)},}}
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    DLMF:22.6.E5
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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.m2aadec
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