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Math Help - Beta fuction

  1. #1
    Junior Member
    Joined
    Jun 2009
    Posts
    58

    Exclamation Beta fuction

    Hello.

    Who can help me to prove the following?

    B(p,q) = \displaystyle\frac{q-1}{p}B(p+1,q-1)= \displaystyle\frac{p-1}{q}B(p-1,q-1)

     <br />
p,q > 1<br />

    Thanks
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  2. #2
    Super Member
    Joined
    Aug 2008
    Posts
    903
    You know \beta(a,b)=\frac{\Gamma(a)\Gamma(b)}{\Gamma(a+b)}

    and \Gamma(1+a)=a\Gamma(a)

    so use those identities to establish your expression.
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