Difference between revisions of "Gamma(z)Gamma(1-z)=pi/sin(pi z)"

From specialfunctionswiki
Jump to: navigation, search
Line 9: Line 9:
  
 
[[Category:Theorem]]
 
[[Category:Theorem]]
[[Category:Proven]]
+
[[Category:Unproven]]

Revision as of 07:33, 8 June 2016

Theorem

The following formula holds: $$\Gamma(z)\Gamma(1-z) = \dfrac{\pi}{\sin(\pi z)},$$ where $\Gamma$ denotes the gamma function and $\sin$ denotes the sine function.

Proof

References