User:Tohline/Math/EQ Gamma01

	<math>~ \Gamma(z) ~\Gamma(1-z) </math>		<math>~=</math>	<math>~ \frac{\pi}{\sin(\pi z)} </math>	<math>~\biggl|</math>	for example, if <math>~z \rightarrow (m-n + \tfrac{1}{2})</math>	<math>~\Rightarrow</math>	<math>~\Gamma(m-n+\tfrac{1}{2})~\Gamma(n-m+\tfrac{1}{2})</math> <math>~=</math> <math>~\pi \biggl\{\sin\biggl[ \frac{\pi}{2} + \pi(m-n) \biggr] \biggr\}^{-1}</math>   <math>~=</math> <math>~\pi (-1)^{m-n} </math>
DLMF §5.5(ii)					<math>~\biggl|</math>
Valid for:		<math>~z \ne0, \pm 1, \pm 2, </math> …			<math>~\biggl|</math>