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

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Revision as of 00:32, 4 June 2016

Theorem: The following relationship between $\Gamma$ and the $\sin$ function holds: $$\Gamma(x)\Gamma(1-x) = \dfrac{\pi}{\sin(\pi x)}.$$

Proof: