# Biholomorphic map

• May 14th 2011, 08:03 PM
kinkong
Biholomorphic map
I found a question which reads
(1) Construct a biholomorphic ma f : \Omega1 \to \Omega2, where \Omega1 is a unit disc and \Omega2={z \in C| 0<Arg(z) < \frac{\pi }{4}}. Show the map as a composition of simpler biholomorphism and write the combined formula for f(z).
Please can anyone help me where to start and how to start. i am having trouble to get started.
• May 14th 2011, 10:21 PM
Jose27
This question would be better suited in the Analysis subforum.

For the question, can you transform the disk into the upper half plane, and then this into $\Omega _2$?
• May 16th 2011, 10:40 PM
kinkong
sorry, i couldnt get what you are saying . please can u explain it a bit.