DLMF:5.12.E9 (Q2154)

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DLMF:5.12.E9
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    Statements

    Defining formula
    1 2 ⁢ π ⁢ i ⁢ ∫ c - ∞ ⁢ i c + ∞ ⁢ i t - a ⁢ ( 1 - t ) - 1 - b ⁢ d t = 1 b ⁢ B ⁡ ( a , b ) , 1 2 𝜋 𝑖 superscript subscript 𝑐 𝑖 𝑐 𝑖 superscript 𝑡 𝑎 superscript 1 𝑡 1 𝑏 𝑡 1 𝑏 Euler-Beta 𝑎 𝑏 {\displaystyle{\displaystyle{\frac{1}{2\pi i}\int_{c-\infty i}^{c+\infty i}t^{% -a}(1-t)^{-1-b}\mathrm{d}t=\frac{1}{b\mathrm{B}\left(a,b\right)}},}}
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    DLMF id
    DLMF:5.12.E9
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