# [Complex Analysis] Transform a column into a line

 P: 1 1. The problem statement, all variables and given/known data I'm having a problem with this problem () where I have to transform an area of 2 circles, the one contained within the other, into a straight line. I've managed to transform the circles using a Möbius transformation into a column bounded by 1/4 |Im z| } 3. The attempt at a solution w1 = $\frac{1}{2-z}$ I made this picture to describe the problem and my progress better: Cheers, - brolaf