1. ## Beta fuction

Hello.

Who can help me to prove the following?

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

$
p,q > 1
$

Thanks

2. 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.