DLMF:22.8.E9 (Q6974)

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DLMF:22.8.E9
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    Statements

    test
    sc ⁡ ( u + v ) = sc ⁡ u ⁢ dc ⁡ v ⁢ nc ⁡ v + sc ⁡ v ⁢ dc ⁡ u ⁢ nc ⁡ u 1 - k ′ 2 ⁢ sc 2 ⁡ u ⁢ sc 2 ⁡ v , Jacobi-elliptic-sc 𝑢 𝑣 𝑘 Jacobi-elliptic-sc 𝑢 𝑘 Jacobi-elliptic-dc 𝑣 𝑘 Jacobi-elliptic-nc 𝑣 𝑘 Jacobi-elliptic-sc 𝑣 𝑘 Jacobi-elliptic-dc 𝑢 𝑘 Jacobi-elliptic-nc 𝑢 𝑘 1 superscript superscript 𝑘 ′ 2 Jacobi-elliptic-sc 2 𝑢 𝑘 Jacobi-elliptic-sc 2 𝑣 𝑘 {\displaystyle{\displaystyle\operatorname{sc}(u+v)=\frac{\operatorname{sc}u% \operatorname{dc}v\operatorname{nc}v+\operatorname{sc}v\operatorname{dc}u% \operatorname{nc}u}{1-{k^{\prime}}^{2}{\operatorname{sc}^{2}}u{\operatorname{% sc}^{2}}v},}}
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    DLMF id
    DLMF:22.8.E9
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