DLMF:22.7.E2 (Q6958)

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DLMF:22.7.E2
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    test
    sn ⁡ ( z , k ) = ( 1 + k 1 ) ⁢ sn ⁡ ( z / ( 1 + k 1 ) , k 1 ) 1 + k 1 ⁢ sn 2 ⁡ ( z / ( 1 + k 1 ) , k 1 ) , Jacobi-elliptic-sn 𝑧 𝑘 1 subscript 𝑘 1 Jacobi-elliptic-sn 𝑧 1 subscript 𝑘 1 subscript 𝑘 1 1 subscript 𝑘 1 Jacobi-elliptic-sn 2 𝑧 1 subscript 𝑘 1 subscript 𝑘 1 {\displaystyle{\displaystyle\operatorname{sn}\left(z,k\right)=\frac{(1+k_{1})% \operatorname{sn}\left(z/(1+k_{1}),k_{1}\right)}{1+k_{1}{\operatorname{sn}^{2}% }\left(z/(1+k_{1}),k_{1}\right)},}}
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    DLMF id
    DLMF:22.7.E2
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