the function

$\displaystyle f(\alpha, \beta, \gamma; x) = \frac{\Gamma{\gamma}}{\Gamma \beta {\Gamma{\gamma - \beta}}}\int_{0}^{1} t^{\beta - 1} (1-t)^{\gamma - \beta - 1} (1-tx)^{- \alpha } dt $

please i need help onprovingthe function above.

thanks