DLMF:25.14.E5 (Q7744): Difference between revisions

Revision as of 01:03, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:25.14.E5	No description defined

{\displaystyle{\displaystyle\Phi\left(z,s,a\right)=\frac{1}{\Gamma\left(s% \right)}\int_{0}^{\infty}\frac{x^{s-1}e^{-ax}}{1-ze^{-x}}\mathrm{d}x,}}

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DLMF:25.14.E5

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{\displaystyle{\displaystyle\Re s>0}}

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

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{\displaystyle{\displaystyle z\in\mathbb{C}\setminus[1,\infty)}}

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{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2adec

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{\displaystyle{\displaystyle\Phi\left(\NVar{z},\NVar{s},\NVar{a}\right)}}

C25.S14.E1.m2addec

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{\displaystyle{\displaystyle[\NVar{a},\NVar{b})}}

introduction.Sx4.p2.t1.r1.m4adec

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@@ Property / Symbols used @@
+Q11243
@@ Property / Symbols used: Q11243 / rank @@
+Normal rank
@@ Property / Symbols used: Q11243 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle[\NVar{a},\NVar{b})}}$ 
[\NVar{a},\NVar{b})
@@ Property / Symbols used: Q11243 / qualifier @@
+xml-id: introduction.Sx4.p2.t1.r1.m4adec