(a) Describe the steps to analytically continue Gamma function I(z) to the whole complex plane. Start with the integral definition of I(z). (b) Evaluate the integral - r(z) dz 2 - 1 where C is the circle |z) = 3/2 and the orientation is counterclockwise. (c) Riemann Zeta function ((z) is analytic everywhere except z = 1. Show that z = 1 is a simple pole, and compute the residue