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Math Help - Complex analysis problem regarding the maximum principle

  1. #1
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    Complex analysis problem regarding the maximum principle

    Hi,

    I have a problem in comple analysis which regards the maximum principle that I would love to get some help with. The question is :
    Let g be an analytic function in a ring S = {z | a < |Z|< b }which is continuous on the circle {z | |z| = b}. Also f(z) = 0 for every z on that circle.
    Prove that f(z) = 0 for every z in S.

    As I mentioned above it has to do with the maximum principle.
    Looking forward for your help, anyone.

    Thanks.

    Popo
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  2. #2
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    will anybody help me please ?

    I've posted this question more than one week with no reply since.
    Will anybody please help/ give an idea ?
    Thanks !
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