DLMF:25.13.E3 (Q7739): Difference between revisions

Revision as of 01:02, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:25.13.E3	No description defined

{\displaystyle{\displaystyle\zeta\left(1-s,x\right)=\frac{\Gamma\left(s\right)% }{(2\pi)^{s}}\left(e^{-\pi is/2}F\left(x,s\right)+e^{\pi is/2}F\left(-x,s% \right)\right),}}

0 references

DLMF:25.13.E3

0 references

{\displaystyle{\displaystyle\Re s>0}}

0 references

{\displaystyle{\displaystyle 0<x<1}}

0 references

{\displaystyle{\displaystyle\Re s>0}}

0 references

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

C1.S9.E1.m2abdec

0 references

{\displaystyle{\displaystyle F\left(\NVar{x},\NVar{s}\right)}}

C25.S13.E1.m2abdec

0 references

@@ Property / Symbols used @@
+periodic zeta function
@@ Property / Symbols used: periodic zeta function / rank @@
+Normal rank
@@ Property / Symbols used: periodic zeta function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle F\left(\NVar{x},\NVar{s}\right)}}$ 
\perZeta@{\NVar{x}}{\NVar{s}}
@@ Property / Symbols used: periodic zeta function / qualifier @@
+xml-id: C25.S13.E1.m2abdec