Gamma Function

math

Definition

Gamma Function

The gamma function $\Gamma$ is the most common extension of the factorial function to the complex numbers.

$$\Gamma (z)={\int }_0^{\infty }{t}^{z-1}{e}^{-t}dt\mathfrak{R}(z)>0$$

Relation to the factorial:

$$\Gamma (n)=(n-1)!$$