let-B-x-y-0-1-t-x-1-1-t-y-1-dt-withx-gt-0and-y-gt-0-prove-that-B-x-y-x-y-x-y-

Question Number 40892 by abdo.msup.com last updated on 28/Jul/18

l e t B (x, y) = \int_{0}^{1} t^{x - 1} {(1 - t)}^{y - 1} d t

w i t h x > 0 a n d y > 0 p r o v e t h a t

B (x, y) = \frac{Γ (x) . Γ (y)}{Γ (x + y)}