Gamma function

Extension of the factorial function

In mathematics, the gamma function, denoted by ⁠ Γ {\displaystyle \Gamma } ⁠ (capital Greek letter gamma), is the most common extension of the factorial function to complex numbers. First studied by Daniel Bernoulli, the gamma function is defined for all complex numbers z {\displaystyle z} except non-positive integers, and satisfied Γ ( n) = ( n − 1) ! {\displaystyle \Gamma (n)=(n-1)!} for every positive integer ⁠ n {\displaystyle n} ⁠.

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