DLMF:5.12.E11 (Q2156): Difference between revisions

Revision as of 01:03, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:5.12.E11	No description defined

{\displaystyle{\displaystyle\frac{1}{e^{2\pi ia}-1}\int_{\infty}^{(0+)}t^{a-1}% (1+t)^{-a-b}\mathrm{d}t=\mathrm{B}\left(a,b\right),}}

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DLMF:5.12.E11

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{\displaystyle{\displaystyle\mathrm{B}\left(\NVar{a},\NVar{b}\right)}}

C5.S12.E1.m2ajdec

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@@ Property / Symbols used @@
+beta function
@@ Property / Symbols used: beta function / rank @@
+Normal rank
@@ Property / Symbols used: beta function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{B}\left(\NVar{a},\NVar{b}\right)}}$ 
\EulerBeta@{\NVar{a}}{\NVar{b}}
@@ Property / Symbols used: beta function / qualifier @@
+xml-id: C5.S12.E1.m2ajdec