$$ \begin{displaymath}\begin{split} B(\alpha , \beta) &= \int_{0}^{1} x^{\alpha - 1} (1-x)^{\beta - 1} \ dx \ , \ (\alpha > 0 \ , \ \beta > 0) \\ &= \frac{\Gamma(\alpha) \Gamma(\beta)}{\Gamma(\alpha + \beta)} \end{split}\end{displaymath} $$
단, $\Gamma(x)$는 감마함수