# derivative of gamma function

• Mar 4th 2012, 10:25 PM
Ozymandias
derivative of gamma function
hello friends!! I was just wondering, what was the derivative of gamma function?

$\frac{d}{dx}\Gamma(x)=?$
• Mar 4th 2012, 11:10 PM
sbhatnagar
Re: derivative of gamma function
$\frac{d}{dx}\Gamma(x)=\Gamma ' (x)=\psi(x) \, \Gamma(x)$

where $\psi(x)$ is the Digamma Function.