DLMF:22.8.E18 (Q6983)

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DLMF:22.8.E18
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    Statements

    test
    dn ⁡ ( u + v ) = cn ⁡ u ⁢ dn ⁡ u ⁢ cn ⁡ v ⁢ dn ⁡ v + k ′ 2 ⁢ sn ⁡ u ⁢ sn ⁡ v cn ⁡ u ⁢ cn ⁡ v + sn ⁡ u ⁢ dn ⁡ u ⁢ sn ⁡ v ⁢ dn ⁡ v . Jacobi-elliptic-dn 𝑢 𝑣 𝑘 Jacobi-elliptic-cn 𝑢 𝑘 Jacobi-elliptic-dn 𝑢 𝑘 Jacobi-elliptic-cn 𝑣 𝑘 Jacobi-elliptic-dn 𝑣 𝑘 superscript superscript 𝑘 ′ 2 Jacobi-elliptic-sn 𝑢 𝑘 Jacobi-elliptic-sn 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 {\displaystyle{\displaystyle\operatorname{dn}(u+v)=\frac{\operatorname{cn}u% \operatorname{dn}u\operatorname{cn}v\operatorname{dn}v+{k^{\prime}}^{2}% \operatorname{sn}u\operatorname{sn}v}{\operatorname{cn}u\operatorname{cn}v+% \operatorname{sn}u\operatorname{dn}u\operatorname{sn}v\operatorname{dn}v}.}}
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    DLMF id
    DLMF:22.8.E18
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