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)) |
|||
(One intermediate revision by the same user not shown) | |||
Line 9: | Line 9: | ||
[[Category:Theorem]] | [[Category:Theorem]] | ||
− | [[Category: | + | [[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.