DLMF:22.8.E8 (Q6973)

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DLMF:22.8.E8
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    Statements

    test
    nc ⁡ ( u + v ) = nc ⁡ u ⁢ nc ⁡ v + sc ⁡ u ⁢ dc ⁡ u ⁢ sc ⁡ v ⁢ dc ⁡ v 1 - k ′ 2 ⁢ sc 2 ⁡ u ⁢ sc 2 ⁡ v , Jacobi-elliptic-nc 𝑢 𝑣 𝑘 Jacobi-elliptic-nc 𝑢 𝑘 Jacobi-elliptic-nc 𝑣 𝑘 Jacobi-elliptic-sc 𝑢 𝑘 Jacobi-elliptic-dc 𝑢 𝑘 Jacobi-elliptic-sc 𝑣 𝑘 Jacobi-elliptic-dc 𝑣 𝑘 1 superscript superscript 𝑘 ′ 2 Jacobi-elliptic-sc 2 𝑢 𝑘 Jacobi-elliptic-sc 2 𝑣 𝑘 {\displaystyle{\displaystyle\operatorname{nc}(u+v)=\frac{\operatorname{nc}u% \operatorname{nc}v+\operatorname{sc}u\operatorname{dc}u\operatorname{sc}v% \operatorname{dc}v}{1-{k^{\prime}}^{2}{\operatorname{sc}^{2}}u{\operatorname{% sc}^{2}}v},}}
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    DLMF id
    DLMF:22.8.E8
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