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    Property of Beta Function and relation to Gamma function

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    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.

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    Solution Summary

    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.