DLMF:25.5.E12 (Q7625): Difference between revisions

Revision as of 13:27, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:25.5.E12	No description defined

{\displaystyle{\displaystyle\zeta\left(s\right)=\frac{2^{s-1}}{s-1}-2^{s}\int_% {0}^{\infty}\frac{\sin\left(s\operatorname{arctan}x\right)}{(1+x^{2})^{s/2}(e^% {\pi x}+1)}\mathrm{d}x.}}

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DLMF:25.5.E12

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{\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}

C25.S2.E1.m2akdec

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@@ Property / Symbols used @@
+Riemann zeta function
@@ Property / Symbols used: Riemann zeta function / rank @@
+Normal rank
@@ Property / Symbols used: Riemann zeta function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}$ 
\Riemannzeta@{\NVar{s}}
@@ Property / Symbols used: Riemann zeta function / qualifier @@
+xml-id: C25.S2.E1.m2akdec