DLMF:5.8.E3 (Q2087): Difference between revisions

Revision as of 17:34, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:5.8.E3	No description defined

{\displaystyle{\displaystyle\left|\frac{\Gamma\left(x\right)}{\Gamma\left(x+% \mathrm{i}y\right)}\right|^{2}=\prod_{k=0}^{\infty}\left(1+\frac{y^{2}}{(x+k)^% {2}}\right),}}

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DLMF:5.8.E3

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{\displaystyle{\displaystyle x\neq 0,-1,\dots}}

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

C5.S2.E1.m2abdec

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{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2adec

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@@ Property / Symbols used @@
+imaginary unit
@@ Property / Symbols used: imaginary unit / rank @@
+Normal rank
@@ Property / Symbols used: imaginary unit / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{i}}}$ 
\iunit
@@ Property / Symbols used: imaginary unit / qualifier @@
+xml-id: C1.S9.E1.m2adec