# Thread: complex analysis help

1. ## complex analysis help

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

2. Originally Posted by LCopper2010
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 $\displaystyle \gamma$.
Really?

(b) Compute the integral (z-$\displaystyle z_{0}$)^ndz for all integer n $\displaystyle \in$ Z
Around the circle you mean, right?

3. Originally Posted by LCopper2010
Let C be a fixed complex number and let be the circle with center and radius R with positive orientation.

(a) Find a parametrization of .
Review the most basic stuff about polar coordinates and the fact that you can identify complex numbers with an ordered pair.

x+iy with (x,y)