DLMF:22.6.E13 (Q6947)

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DLMF:22.6.E13
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    Statements

    test
    sc ⁡ ( 2 ⁢ z , k ) = 2 ⁢ sc ⁡ ( z , k ) ⁢ dc ⁡ ( z , k ) ⁢ nc ⁡ ( z , k ) 1 - k ′ 2 ⁢ sc 4 ⁡ ( z , k ) , Jacobi-elliptic-sc 2 𝑧 𝑘 2 Jacobi-elliptic-sc 𝑧 𝑘 Jacobi-elliptic-dc 𝑧 𝑘 Jacobi-elliptic-nc 𝑧 𝑘 1 superscript superscript 𝑘 ′ 2 Jacobi-elliptic-sc 4 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{sc}\left(2z,k\right)=\frac{2% \operatorname{sc}\left(z,k\right)\operatorname{dc}\left(z,k\right)% \operatorname{nc}\left(z,k\right)}{1-{k^{\prime}}^{2}{\operatorname{sc}^{4}}% \left(z,k\right)},}}
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    DLMF id
    DLMF:22.6.E13
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