Homework Statement
map the function \begin{equation}w = \Big(\frac{z-1}{z+1}\Big)^{2} \end{equation}
on some domain which contains z=e^{i\theta}. \theta between 0 and \pi
Hint: Map the semicircular arc bounding the top of the disc by putting $z=e^{i\theta}$ in the above formula. The...