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Math Help - Evaluating Gamma function less than 1

  1. #1
    niz
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    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.
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  2. #2
    MHF Contributor chisigma's Avatar
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    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
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