need some help with this question: Let $\Omega \neq \mathbb C$ a simply connected area. Let $w_0 \in \Omega, z_0 \in D=\{z: |z|<1\}$ and $-\pi<\theta<\pi $
I want to show that there exist only one function $f$ such that: $f$ is bijection, $f(D)=\Omega$, $f(z_0)=w_0$ and arg f'(z_0)=0
Thanks.