DLMF:19.6#Ex4 (Q6144)

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DLMF:19.6#Ex4
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    Statements

    Defining formula
    Π ⁡ ( k 2 , k ) = E ⁡ ( k ) / k ′ 2 , complete-elliptic-integral-third-kind-Pi superscript 𝑘 2 𝑘 complete-elliptic-integral-second-kind-E 𝑘 superscript superscript 𝑘 ′ 2 {\displaystyle{\displaystyle\Pi\left(k^{2},k\right)=E\left(k\right)/{k^{\prime% }}^{2},}}
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    DLMF id
    DLMF:19.6#Ex4
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    constraint
    k 2 < 1 superscript 𝑘 2 1 {\displaystyle{\displaystyle k^{2}<1}}
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