Gamma(z)Gamma(1-z)=pi/sin(pi z)

From specialfunctionswiki
Revision as of 11:54, 5 April 2018 by Tom (talk | contribs) (Tom moved page Euler's reflection formula for gamma to Gamma(z)Gamma(1-z)=pi/sin(pi z))
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

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