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DLMF:19.6#Ex25 - MaRDI portal

DLMF:19.6#Ex25 (Q6865)

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DLMF:19.6#Ex25
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    DLMF defining formula
    Π ⁡ ( ϕ , α 2 , 1 ) = 1 1 - α 2 ⁢ ( R C ⁡ ( c , c - 1 ) - α 2 ⁢ R C ⁡ ( c , c - α 2 ) ) , elliptic-integral-third-kind-Pi italic-ϕ superscript 𝛼 2 1 1 1 superscript 𝛼 2 Carlson-integral-RC 𝑐 𝑐 1 superscript 𝛼 2 Carlson-integral-RC 𝑐 𝑐 superscript 𝛼 2 {\displaystyle{\displaystyle\Pi\left(\phi,\alpha^{2},1\right)=\frac{1}{1-% \alpha^{2}}\left(R_{C}\left(c,c-1\right)-\alpha^{2}R_{C}\left(c,c-\alpha^{2}% \right)\right),}}
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