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:<math>=(z-1) \Gamma(z-1)</math>
:<math>=(z-1) \Gamma(z-1)</math>
Thus,
Thus,
<math> \Gamma (z) = (z-1) \Gamma(z-1)</math>
:<math> \Gamma (z) = (z-1) \Gamma(z-1)</math>
Using this, and the the fact that <math>\Gamma(0)=1</math>, then we can get the [[Factorial|factorial]]. For <math>n</math> a positive integer,
:<math> \Gamma(n) = (n-1)!. </math>