Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Question about complex analysis

  1. Feb 5, 2012 #1
    If we know f(x)^2 and f(x)^3 are both holomorphic, can we say that f(x) itself is also holomorphic? And how to prove that?
  2. jcsd
  3. Feb 5, 2012 #2


    User Avatar
    Science Advisor
    Homework Helper

    have you tried dividing them?
  4. Feb 5, 2012 #3
    just figure out how to do it. just divide them and prove that the singularities must be isolated. otherwise f(z) will be constantly 0.
  5. Feb 5, 2012 #4


    User Avatar
    Science Advisor
    Gold Member
    2017 Award

    prove that the derivatives of a holomorphic function are holomorphic
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook