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-Entire Functions

  1. Jun 19, 2010 #1
    1. The problem statement, all variables and given/known data
    Prove Or find a proper counterexample:
    1. Let f be an entire function such as [tex] f(0)=101 [/tex] and:
    [tex] Re f(z) \geq 100 + Im(z) [/tex] . Then [tex] f(i)=102 [/tex] .

    2. There exists an analytic function f from the unit circle to itself which satisfy:
    [tex] f(\frac{i}{3})=\frac{1}{2} [/tex] , [tex]f(\frac{1}{2}) = \frac{i}{3} [/tex].

    Hope you'll be able to help me


    2. Relevant equations
    3. The attempt at a solution
  2. jcsd
  3. Jun 19, 2010 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    You have to show what you've attempted to do on the problem before we can help you
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook