1. Not finding help here? Sign up for a free 30min 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 zero/branch problem

  1. Apr 2, 2008 #1
    1. The problem statement, all variables and given/known data

    Let f be a holomorphic function in the open subset G or C. Let the point Z of G be a zero of f of order m. Prove that there is a branch of f^(1/m) in some open disk centered at Z

    2. Relevant equations

    Branch- a continuous function g in G such that, for each x in G, the value of g(x) is a value of f^(1/m)

    3. The attempt at a solution

    My biggest problem is formulating a proof that a branch exists. If somebody could give me a push start on how to start and formulate the proof that the branch exists I will be able to figure out the rest.
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?

Similar Discussions: Complex analysis zero/branch problem
  1. Complex analysis (Replies: 0)