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Uniqueness theorem

  1. Jun 5, 2008 #1
    Will anybody please tell me what is the statement of the "Uniqueness theorem" in Complex analysis??
     
  2. jcsd
  3. Jun 5, 2008 #2

    nicksauce

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    I'm not sure if there is a unique uniqueness theorem. Can you maybe be more specific? Uniqueness of what?
     
  4. Jun 5, 2008 #3
    I have the sum:
    Let f:C-->C be analytic s.t f(1/n)=1/n^2,n=1,2,3........
    Then(out of 4 ans i am giving the correct one)f(z)=z^2 for all z in C
    The solution is done as follows:
    Let g(z)=z^2 for all z in C.Then f(z)=g(z) for all z in {1/n :n=1,2,3.}.since {1/n :n=1,2,3.} is an infinite set having a limit point "0",so by "uniqueness theorem" f(z)=g(z) for all z in C.

    Here i want to have the statement of this Uniqueness theorem...
     
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