Difference between revisions of "Gamma(z)Gamma(1-z)=pi/sin(pi z)"
From specialfunctionswiki
m (Tom moved page Euler's reflection formula for gamma to Gamma(z)Gamma(1-z)=pi/sin(pi z)) |
|||
(2 intermediate revisions by the same user not shown) | |||
Line 7: | Line 7: | ||
==References== | ==References== | ||
+ | |||
+ | [[Category:Theorem]] | ||
+ | [[Category:Unproven]] |
Latest revision as of 11:54, 5 April 2018
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.