DLMF:8.14.E3 (Q2636)

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DLMF:8.14.E3
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    0 x a - 1 γ ( b , x ) d x = - Γ ( a + b ) a , superscript subscript 0 superscript 𝑥 𝑎 1 incomplete-gamma 𝑏 𝑥 𝑥 Euler-Gamma 𝑎 𝑏 𝑎 {\displaystyle{\displaystyle\int_{0}^{\infty}x^{a-1}\gamma\left(b,x\right)% \mathrm{d}x=-\frac{\Gamma\left(a+b\right)}{a},}}
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    DLMF:8.14.E3
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    a < 0 𝑎 0 {\displaystyle{\displaystyle\Re a<0}}
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    ( a + b ) > 0 𝑎 𝑏 0 {\displaystyle{\displaystyle\Re(a+b)>0}}
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