# Thread: Evaluating Gamma function less than 1

1. ## Evaluating Gamma function less than 1

Dear math geniuses,
I am a bit baffled evaluating Gamma functions which is less than one. For e.g., how to calculate Gamma function of 1/3, 2/3 etc? Please help. Thanks in advance.

2. May be You find useful this relation...

$\Gamma(x)= \frac{\Gamma(1+x)}{x}$ (1)

For example...

$\Gamma(\frac{1}{3})= 3\cdot \Gamma(\frac{4}{3})$

$\Gamma(\frac{2}{3})= \frac{3}{2}\cdot \Gamma(\frac{5}{3})$

$\dots$

Kind regards

$\chi$ $\sigma$