DLMF:25.11.E24 (Q7698): Difference between revisions

Revision as of 13:41, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:25.11.E24	No description defined

{\displaystyle{\displaystyle\sum_{r=1}^{k-1}\zeta'\left(s,\frac{r}{k}\right)=(% k^{s}-1)\zeta'\left(s\right)+k^{s}\zeta\left(s\right)\ln k,}}

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DLMF:25.11.E24

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{\displaystyle{\displaystyle k=1,2,3,\dots}}

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

C25.S11.E1.m2aydec

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@@ Property / Symbols used @@
+Hurwitz zeta function
@@ Property / Symbols used: Hurwitz zeta function / rank @@
+Normal rank
@@ Property / Symbols used: Hurwitz zeta function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\zeta\left(\NVar{s},\NVar{a}\right)}}$ 
\Hurwitzzeta@{\NVar{s}}{\NVar{a}}
@@ Property / Symbols used: Hurwitz zeta function / qualifier @@
+xml-id: C25.S11.E1.m2aydec