(1) Consider the Gamma function I: RR, the Euler Gamma function restricted to real numbers: Show that: T(z) = e-tt-1dt 0 a) For every Є R, we have I (x + 1) = x(x); b) For every n Є N, we have I (n + 1) = n!, in particular F(1) = 1; c) F (})=√√T; d) I(-n): = ∞, for every n Є N, in particular I (0) = ∞; e) г(z)г(1 z) = - = sin πz for every z Є C. (2) Knowing that show that (m) k = m! (m-k)!k!! 0, if m > k, if m