DLMF:8.17.E10 (Q2650)

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DLMF:8.17.E10
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    Statements

    Defining formula
    I x ⁡ ( a , b ) = x a ⁢ ( 1 - x ) b 2 ⁢ π ⁢ i ⁢ ∫ c - i ⁢ ∞ c + i ⁢ ∞ s - a ⁢ ( 1 - s ) - b ⁢ d s s - x , IncI 𝑥 𝑎 𝑏 superscript 𝑥 𝑎 superscript 1 𝑥 𝑏 2 𝜋 𝑖 superscript subscript 𝑐 𝑖 𝑐 𝑖 superscript 𝑠 𝑎 superscript 1 𝑠 𝑏 𝑠 𝑠 𝑥 {\displaystyle{\displaystyle I_{x}\left(a,b\right)=\frac{x^{a}(1-x)^{b}}{2\pi i% }\int_{c-i\infty}^{c+i\infty}s^{-a}(1-s)^{-b}\frac{\mathrm{d}s}{s-x},}}
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    DLMF id
    DLMF:8.17.E10
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