Problem 1: The product form of the Gamma function is written as 1 . 2 . 3 ..n r(z) = lim nz n-0 z(z + 1)(z + 2)(z + 3) ... (z+n) It is obvious that Gamma function has poles of order one at z = negative integers including 0. Using above definition evaluate its residue at z = -m, with m some positive integers