DLMF:8.14.E4 (Q2637): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: gamma function / rank
 
Normal rank
Property / Symbols used: gamma function / qualifier
 
test:

Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

\EulerGamma@{\NVar{z}}
Property / Symbols used: gamma function / qualifier
 
xml-id: C5.S2.E1.m2acdec

Revision as of 13:00, 2 January 2020

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DLMF:8.14.E4
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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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    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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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2acdec
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