DLMF:22.8.E2 (Q6967)

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DLMF:22.8.E2
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    Defining formula
    cn ⁡ ( u + v ) = cn ⁡ u ⁢ cn ⁡ v - sn ⁡ u ⁢ dn ⁡ u ⁢ sn ⁡ v ⁢ dn ⁡ v 1 - k 2 ⁢ sn 2 ⁡ u ⁢ sn 2 ⁡ v , Jacobi-elliptic-cn 𝑢 𝑣 𝑘 Jacobi-elliptic-cn 𝑢 𝑘 Jacobi-elliptic-cn 𝑣 𝑘 Jacobi-elliptic-sn 𝑢 𝑘 Jacobi-elliptic-dn 𝑢 𝑘 Jacobi-elliptic-sn 𝑣 𝑘 Jacobi-elliptic-dn 𝑣 𝑘 1 superscript 𝑘 2 Jacobi-elliptic-sn 2 𝑢 𝑘 Jacobi-elliptic-sn 2 𝑣 𝑘 {\displaystyle{\displaystyle\operatorname{cn}(u+v)=\frac{\operatorname{cn}u% \operatorname{cn}v-\operatorname{sn}u\operatorname{dn}u\operatorname{sn}v% \operatorname{dn}v}{1-k^{2}{\operatorname{sn}^{2}}u{\operatorname{sn}^{2}}v},}}
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    DLMF id
    DLMF:22.8.E2
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