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Math Help - Biholomorphic map

  1. #1
    Junior Member
    Joined
    Apr 2011
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    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.
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  2. #2
    Super Member
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    Apr 2009
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    México
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    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?
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  3. #3
    Junior Member
    Joined
    Apr 2011
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    sorry, i couldnt get what you are saying . please can u explain it a bit.
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