Let $\displaystyle z_{0}$ $\displaystyle \in$ C be a fixed complex number and let $\displaystyle \gamma$ be the circle with center $\displaystyle z_{0}$ and radius R with positive orientation.

(a) Find a parametrization of $\displaystyle \gamma$.

(b) Compute the integral (z-$\displaystyle z_{0}$)^ndz for all integer n $\displaystyle \in$ Z