1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Complex Analysis Question

  1. Apr 12, 2009 #1
    1. The problem statement, all variables and given/known data
    Show that if the analytic function w= f(z) maps a domain D onto a portion of a line, then f must be constant throughout D.

    2. Relevant equations

    3. The attempt at a solution
    I just have one question, can I write w = u(x,y) (a+bi) since it maps to a portion of a line? Where a,b, and u(x,y) are reals. From there I have shown that the derivatives are 0.
  2. jcsd
  3. Apr 12, 2009 #2
    Open mapping theorem!!!
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Complex Analysis Question