$$\mathrm{\Gamma}(x)=\int_{0}^{\infty}t^{x-1}e^{-t}dt=\int_{0}^{\infty}e^{-t}t^{x-1}dt$$
 $\Re(x)>0$ 에서만?

$\mathrm{\Gamma}(x+1)=x\mathrm{\Gamma}(x),\quad\quad x>0$

[[계승,factorial]]과의 관계:
$\mathrm{\Gamma}(x)=(x-1)!$
$\mathrm{\Gamma}(n+1)=n!$

기타 신기한 성질:
$\mathrm{\Gamma}\left(\frac12\right)=\sqrt{\pi}$

= Twins: Ref: =
Twins:
 https://ghebook.blogspot.kr/2011/12/gamma-function.html
 http://en.citizendium.org/wiki/Gamma_function

Up: [[수학,math]]/[[함수,function]]