DLMF:5.14.E7 (Q2169): Difference between revisions

Revision as of 01:06, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:5.14.E7	No description defined

{\displaystyle{\displaystyle\frac{1}{(2\pi)^{n}}\int_{[-\pi,\pi]^{n}}\prod_{1% \leq j<k\leq n}|e^{i\theta_{j}}-e^{i\theta_{k}}|^{2b}\mathrm{d}\theta_{1}% \cdots\mathrm{d}\theta_{n}=\frac{\Gamma\left(1+bn\right)}{(\Gamma\left(1+b% \right))^{n}},}}

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DLMF:5.14.E7

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{\displaystyle{\displaystyle\Re b>-1/n}}

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

C5.S2.E1.m2aedec

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{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aadec

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

introduction.Sx4.p1.t1.r30.m6aadec

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@@ Property / Symbols used @@
+Q10815
@@ Property / Symbols used: Q10815 / rank @@
+Normal rank
@@ Property / Symbols used: Q10815 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle[\NVar{a},\NVar{b}]}}$ 
[\NVar{a},\NVar{b}]
@@ Property / Symbols used: Q10815 / qualifier @@
+xml-id: introduction.Sx4.p1.t1.r30.m6aadec