DLMF:8.14.E4 (Q2637): 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.E4
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    Statements

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