Please see the attached file for adequate notation. Basically, show the following:
B(p,q) = (Gamma(p)*Gamma(q))/Gamma(p+q)= integral (limits between 0 and 1) [(t^(p-1))*(1-t)^(q-1)*(dt),
where B(p,q) is the beta function.© BrainMass Inc. brainmass.com October 2, 2020, 3:59 am ad1c9bdddf
Please see attachment for properly formatted and a full breakdown of the solution.
Solution: It seems that there is ...
For positive integers (p,q) we find an expression for the Beta function B(p,q) in terms of the Gamma function. We also find an integral form.