DLMF:19.9#Ex3 (Q6244)

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DLMF:19.9#Ex3
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    Statements

    Defining formula
    1 ≤ ( 2 / π ) ⁢ 1 - α 2 ⁢ Π ⁡ ( α 2 , k ) ≤ 1 / k ′ , 1 2 𝜋 1 superscript 𝛼 2 complete-elliptic-integral-third-kind-Pi superscript 𝛼 2 𝑘 1 superscript 𝑘 ′ {\displaystyle{\displaystyle 1\leq(2/\pi)\sqrt{1-\alpha^{2}}\Pi\left(\alpha^{2% },k\right)\leq 1/k^{\prime},}}
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    DLMF id
    DLMF:19.9#Ex3
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    constraint
    α 2 < 1 superscript 𝛼 2 1 {\displaystyle{\displaystyle\alpha^{2}<1}}
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