DLMF:2.5.E46 (Q822): Difference between revisions

Revision as of 17:08, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:2.5.E46	No description defined

{\displaystyle{\displaystyle\Residue_{z=k}\left[-\zeta^{z-1}\Gamma\left(1-z% \right)\pi\csc\left(\pi z\right)\right]=\left(-\ln\zeta+\psi\left(k\right)% \right)\dfrac{\zeta^{k-1}}{(k-1)!},}}

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DLMF:2.5.E46

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

C5.S2.E1.m2ahdec

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{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aldec

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{\displaystyle{\displaystyle\csc\NVar{z}}}

C4.S14.E5.m2adec

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@@ Property / Symbols used @@
+cosecant function
@@ Property / Symbols used: cosecant function / rank @@
+Normal rank
@@ Property / Symbols used: cosecant function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\csc\NVar{z}}}$ 
\csc@@{\NVar{z}}
@@ Property / Symbols used: cosecant function / qualifier @@
+xml-id: C4.S14.E5.m2adec