Template:Math/EQ Gamma01

	$\mathrm{\Gamma }(z)\mathrm{\Gamma }(1-z)$		$=$	$\frac{\pi }{\sin (\pi z)}$	$|$	for example, if $z\to (m-n+\frac{1}{2})$ $\Rightarrow \mathrm{\Gamma }(m-n+\frac{1}{2})\mathrm{\Gamma }(n-m+\frac{1}{2})$ $=$ $\pi \{\sin [\frac{\pi }{2}+\pi (m-n)]{\}}^{-1}$   $=$ $\pi (-1{)}^{m-n}$
DLMF §5.5(ii)					$|$
Valid for:		$z\ne 0,\pm 1,\pm 2,$ …			$|$