DLMF:19.28.E3 (Q6611)

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DLMF:19.28.E3
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    test
    ∫ 0 1 t σ - 1 ⁢ ( 1 - t ) ⁢ R D ⁡ ( 0 , t , 1 ) ⁢ d t = 3 4 ⁢ σ + 2 ⁢ ( B ⁡ ( σ , 1 2 ) ) 2 . superscript subscript 0 1 superscript 𝑡 𝜎 1 1 𝑡 Carlson-integral-RD 0 𝑡 1 𝑡 3 4 𝜎 2 superscript Euler-Beta 𝜎 1 2 2 {\displaystyle{\displaystyle\int_{0}^{1}t^{\sigma-1}(1-t)R_{D}\left(0,t,1% \right)\mathrm{d}t=\frac{3}{4\sigma+2}\left(\mathrm{B}\left(\sigma,\tfrac{1}{2% }\right)\right)^{2}.}}
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    DLMF id
    DLMF:19.28.E3
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