# Evaluating Gamma function less than 1

• Nov 26th 2009, 01:54 AM
niz
Evaluating Gamma function less than 1
Dear math geniuses, (Wink)
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.
• Nov 26th 2009, 02:10 AM
chisigma
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

$\chi$ $\sigma$