DLMF:8.14.E1 (Q2634): Difference between revisions

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Property / constraint
 

a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}

\realpart@@{a}>0
Property / constraint: a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}} / rank
 
Normal rank

Revision as of 16:11, 30 December 2019

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DLMF:8.14.E1
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    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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    a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}
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