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.

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- Nov 26th 2009, 12:54 AMnizEvaluating 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, 01:10 AMchisigma
May be You find useful this relation...

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

For example...

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

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

$\displaystyle \dots$

Kind regards

$\displaystyle \chi$ $\displaystyle \sigma$