DLMF:8.14.E1 (Q2634)

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DLMF:8.14.E1
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    Statements

    Defining formula
    ∫ 0 ∞ e - a ⁢ x ⁢ γ ⁡ ( b , x ) Γ ⁡ ( b ) ⁢ d x = ( 1 + a ) - b a , superscript subscript 0 superscript 𝑒 𝑎 𝑥 incomplete-gamma 𝑏 𝑥 Euler-Gamma 𝑏 𝑥 superscript 1 𝑎 𝑏 𝑎 {\displaystyle{\displaystyle\int_{0}^{\infty}e^{-ax}\frac{\gamma\left(b,x% \right)}{\Gamma\left(b\right)}\mathrm{d}x=\frac{(1+a)^{-b}}{a},}}
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    DLMF id
    DLMF:8.14.E1
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