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Math Help - complex problem

  1. #1
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    complex problem

    let f: D--> D be holomorophic with f(0)=1/2 and f(1/2)=0, where D={z/ |z|<or=1}

    is it possible to prove that |f '(0)|< or = 3/4
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  2. #2
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    Re: complex problem

    Any holomorphic function is infinitely differentiable and equal to its own Taylor series. Maybe that will get you somewhere.
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  3. #3
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    Re: complex problem

    can you please tell me the other possible bounds other than this.
    thank u
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