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Conformal mapping

  1. Apr 22, 2015 #1
    Hi, I need to sketche ach of the following regions: R = {z :|z| < √2, 7π/16 < Argz<9π/16}, R1 = {z :|z| < 16, Rez>0} and write down a one-one conformal mapping f1 from R onto R1.

    Here is my sketch https://onedrive.live.com/redir?resid=4cdf33ffa97631ef%2110238 [Broken]

    But I'm finding hard to find the mapping. So if someone can help me out that'd be appreciated.
    Last edited by a moderator: May 7, 2017
  2. jcsd
  3. Apr 22, 2015 #2
    As a start, I'd consider the mappings ##z \to z^\alpha## for various powers ##\alpha## and see what effect they have on ##R##.
  4. Apr 23, 2015 #3
    Ok thank you I think it's z→z^8
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