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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


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    You have to show what you've attempted to do on the problem before we can help you
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