DLMF:8.6.E5 (Q2519): Difference between revisions

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Property / constraint
 

z > 0 𝑧 0 {\displaystyle{\displaystyle\Re z>0}}

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

Revision as of 16:09, 30 December 2019

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DLMF:8.6.E5
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    Γ ( a , z ) = z a e - z 0 e - z t ( 1 + t ) 1 - a d t , incomplete-Gamma 𝑎 𝑧 superscript 𝑧 𝑎 superscript 𝑒 𝑧 superscript subscript 0 superscript 𝑒 𝑧 𝑡 superscript 1 𝑡 1 𝑎 𝑡 {\displaystyle{\displaystyle\Gamma\left(a,z\right)=z^{a}e^{-z}\int_{0}^{\infty% }\frac{e^{-zt}}{(1+t)^{1-a}}\mathrm{d}t,}}
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    z > 0 𝑧 0 {\displaystyle{\displaystyle\Re z>0}}
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