DLMF:19.6#Ex30 (Q6174)

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DLMF:19.6#Ex30
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    Defining formula
    Π ⁡ ( 1 2 ⁢ π , α 2 , k ) = Π ⁡ ( α 2 , k ) , elliptic-integral-third-kind-Pi 1 2 𝜋 superscript 𝛼 2 𝑘 complete-elliptic-integral-third-kind-Pi superscript 𝛼 2 𝑘 {\displaystyle{\displaystyle\Pi\left(\tfrac{1}{2}\pi,\alpha^{2},k\right)=\Pi% \left(\alpha^{2},k\right),}}
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    DLMF id
    DLMF:19.6#Ex30
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