DLMF:22.8.E15 (Q6980): Difference between revisions

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DLMF:22.8.E15
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    Defining formula
    cn ⁡ ( u + v ) = sn ⁡ u ⁢ cn ⁡ u ⁢ dn ⁡ v - sn ⁡ v ⁢ cn ⁡ v ⁢ dn ⁡ u sn ⁡ u ⁢ cn ⁡ v ⁢ dn ⁡ v - sn ⁡ v ⁢ cn ⁡ u ⁢ dn ⁡ u , Jacobi-elliptic-cn 𝑢 𝑣 𝑘 Jacobi-elliptic-sn 𝑢 𝑘 Jacobi-elliptic-cn 𝑢 𝑘 Jacobi-elliptic-dn 𝑣 𝑘 Jacobi-elliptic-sn 𝑣 𝑘 Jacobi-elliptic-cn 𝑣 𝑘 Jacobi-elliptic-dn 𝑢 𝑘 Jacobi-elliptic-sn 𝑢 𝑘 Jacobi-elliptic-cn 𝑣 𝑘 Jacobi-elliptic-dn 𝑣 𝑘 Jacobi-elliptic-sn 𝑣 𝑘 Jacobi-elliptic-cn 𝑢 𝑘 Jacobi-elliptic-dn 𝑢 𝑘 {\displaystyle{\displaystyle\operatorname{cn}(u+v)=\frac{\operatorname{sn}u% \operatorname{cn}u\operatorname{dn}v-\operatorname{sn}v\operatorname{cn}v% \operatorname{dn}u}{\operatorname{sn}u\operatorname{cn}v\operatorname{dn}v-% \operatorname{sn}v\operatorname{cn}u\operatorname{dn}u},}}
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    DLMF:22.8.E15
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