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!

Homework Help: Complex Analysis - Rational Functions

  1. May 8, 2013 #1
    1. The problem statement, all variables and given/known data
    I'm studying for my final exam and came across this problem:
    Let f and g be entire analytic functions and |f(z)|<|g(z)| when |z|>1. Show that f/g is a rational function.


    3. The attempt at a solution
    I really have no clue where to go :(
     
  2. jcsd
  3. May 10, 2013 #2
    Well, you know that since |f(z)|<|g(z)| on |z|>1, f(z)/g(z) is bounded on |z|>1. Does this tell you anything?
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted