DLMF:22.16.E31 (Q7151)

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DLMF:22.16.E31
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    Statements

    Defining formula
    E ⁡ ( am ⁡ ( x , k ) , k ) = ℰ ⁡ ( x , k ) , elliptic-integral-second-kind-E Jacobi-elliptic-amplitude 𝑥 𝑘 𝑘 Jacobi-Epsilon 𝑥 𝑘 {\displaystyle{\displaystyle E\left(\operatorname{am}\left(x,k\right),k\right)% =\mathcal{E}\left(x,k\right),}}
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    DLMF id
    DLMF:22.16.E31
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    constraint
    - K ≤ x ≤ K 𝐾 𝑥 𝐾 {\displaystyle{\displaystyle-K\leq x\leq K}}
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