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Math Help - Complex Analysis

  1. #1
    Junior Member
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    Complex Analysis

    Hello, help me please with this one.

    Lets F be a family of analytic functions in H=\left \{ z:Imz>0 \right \} which holds f(i)=0 and \left | f(z) \right |\leq 1.
    Find \underset{f\in F}{\sup }\left | f(2i) \right |


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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: Complex Analysis

    Quote Originally Posted by sinichko View Post
    Hello, help me please with this one.

    Lets F be a family of analytic functions in H=\left \{ z:Imz>0 \right \} which holds f(i)=0 and \left | f(z) \right |\leq 1.
    Find \underset{f\in F}{\sup }\left | f(2i) \right |
    Look here:

    complex analysis - Find $\sup\limits_{f \in F}|f(2i)|$ - Mathematics - Stack Exchange

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