DLMF:22.6.E17 (Q6951)

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DLMF:22.6.E17
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    Statements

    1 - cn ( 2 z , k ) 1 + cn ( 2 z , k ) = sn 2 ( z , k ) dn 2 ( z , k ) cn 2 ( z , k ) , 1 Jacobi-elliptic-cn 2 𝑧 𝑘 1 Jacobi-elliptic-cn 2 𝑧 𝑘 Jacobi-elliptic-sn 2 𝑧 𝑘 Jacobi-elliptic-dn 2 𝑧 𝑘 Jacobi-elliptic-cn 2 𝑧 𝑘 {\displaystyle{\displaystyle\frac{1-\operatorname{cn}\left(2z,k\right)}{1+% \operatorname{cn}\left(2z,k\right)}=\frac{{\operatorname{sn}^{2}}\left(z,k% \right){\operatorname{dn}^{2}}\left(z,k\right)}{{\operatorname{cn}^{2}}\left(z% ,k\right)},}}
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    DLMF:22.6.E17
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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.m2addec
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