DLMF:19.25.E4 (Q6508)

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DLMF:19.25.E4
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    test
    Π ⁡ ( α 2 , k ) = - 1 3 ⁢ ( k 2 / α 2 ) ⁢ R J ⁡ ( 0 , 1 - k 2 , 1 , 1 - ( k 2 / α 2 ) ) , complete-elliptic-integral-third-kind-Pi superscript 𝛼 2 𝑘 1 3 superscript 𝑘 2 superscript 𝛼 2 Carlson-integral-RJ 0 1 superscript 𝑘 2 1 1 superscript 𝑘 2 superscript 𝛼 2 {\displaystyle{\displaystyle\Pi\left(\alpha^{2},k\right)=-\tfrac{1}{3}(k^{2}/% \alpha^{2})R_{J}\left(0,1-k^{2},1,1-(k^{2}/\alpha^{2})\right),}}
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    DLMF id
    DLMF:19.25.E4
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