Gamma function

This article page is a stub, please help by expanding it.

---

The Gamma function $\Gamma (s)$ extends the factorial function to all complex numbers.

$\Gamma (s)=\int _{0}^{1}(\log({\frac {1}{t}}))^{s-1}dt$

For a positive integer $n$, this works out to $\Gamma (n)=(n-1)!$. For example, $\Gamma (7)=720$. Here's a complex number example: $\Gamma (\pi +i)\approx 1.0302984+1.6026i$.