2007-32.md

course	course_year	question_number	tags	title	year
Complex Analysis or Complex Methods	IB	32	IB 2007 Complex Analysis or Complex Methods	2.II.14F	2007

Let $\Omega$ be the half-strip in the complex plane,

$$\Omega=\left{z=x+i y \in \mathbb{C}:-\frac{\pi}{2}<x<\frac{\pi}{2}, \quad y>0\right}$$

Find a conformal mapping that maps $\Omega$ onto the unit disc.