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!

Range of z+1/z (complex function)

  1. Mar 9, 2009 #1


    User Avatar

    1. The problem statement, all variables and given/known data

    Give the range of the function
    [tex]z \in \mathbf{C} , Im(z)>0[/tex]

    2. Relevant equations

    3. The attempt at a solution

    tried to use polar form to either seperate real and imaginary part or get r*exp(I*phi) both failed to yield suitable closed form expressions. Also tried to just solve w=z+1/z which gives
    [tex]z=1/2(w+-sqrt(w^2-4))[/tex] where especially the w^2-4 term makes it difficult to say what really happens.

    Last edited: Mar 9, 2009
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted

Similar Discussions: Range of z+1/z (complex function)