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Thread: holomorphic isomorfism

  1. #1
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    holomorphic isomorfism

    Hi,

    f is an isomorphism that maps the unit square [-1,1]x[-1,1] onto the open unit disc in the complex plane,such that f(0)=0
    prove that f(i*z)=i*f(z) for all z in the unit square.
    Thank's in advance
    Last edited by hedi; Jul 1st 2019 at 02:48 PM.
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  2. #2
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    Re: holomorphic isomorfism

    Quote Originally Posted by hedi View Post
    Ask Question









    f is an
    isomorphism that maps the unit square [-1,1]x[-1,1] onto the unit disc in the complex plane, and also f(0)=0
    .

    the question is how to prove that
    f(izf(iz)
    =
    if(z)
    for every

    z∈
    unit square.
    Thank's in advance





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  3. #3
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    Re: holomorphic isomorfism

    Quote Originally Posted by hedi View Post
    Hi,

    f is an isomorphism that maps the unit square [-1,1]x[-1,1] onto the open unit disc in the complex plane,such that f(0)=0
    prove that f(i*z)=i*f(z) for all z in the unit square.
    Thank's in advance
    Pretty big "unit" square, isn't it?
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  4. #4
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    Re: holomorphic isomorfism

    the relevantic post is above,the last one must be deleted but I don't manage to do that
    Last edited by hedi; Jul 1st 2019 at 04:09 PM.
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  5. #5
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    Re: holomorphic isomorfism

    this is the square.it is not the unit square I am sorry
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