DLMF:19.25.E30 (Q6538)

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DLMF:19.25.E30
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    Statements

    Defining formula
    am ⁡ ( u , k ) = R C ⁡ ( cs 2 ⁡ ( u , k ) , ns 2 ⁡ ( u , k ) ) , Jacobi-elliptic-amplitude 𝑢 𝑘 Carlson-integral-RC Jacobi-elliptic-cs 2 𝑢 𝑘 Jacobi-elliptic-ns 2 𝑢 𝑘 {\displaystyle{\displaystyle\operatorname{am}\left(u,k\right)=R_{C}\left({% \operatorname{cs}^{2}}\left(u,k\right),{\operatorname{ns}^{2}}\left(u,k\right)% \right),}}
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    DLMF id
    DLMF:19.25.E30
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