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Suppose that f(z) is analytic inside and on the

  1. Feb 9, 2012 #1
    1. The problem statement, all variables and given/known data

    Suppose that f(z) is analytic inside and on the simple closed contour C. If f(z) is 1-1 on Z, show that f(z) is 1-1 inside C.

    2. Relevant equations

    f(z) is 1-1 if f(z1)=f(z2) implies z1=z2

    f(z) is analytic at z0 if it equals some power series ∑cn(z-z0)n in some disk centered at z0

    3. The attempt at a solution

    Not sure how to go about this. I get the feeling that there's some other important fact I should've included in the "relevant equations" field.
     
  2. jcsd
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