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Complex analysis

  1. Feb 28, 2009 #1
    1. The problem statement, all variables and given/known data

    Hey guys.

    I have this problem, I need to show that it's true and I don't have a clue.
    I tried to do like alpha = x+yi but it got me nowhere, any ideas?

    Thanks.


    2. Relevant equations



    3. The attempt at a solution
     

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  3. Feb 28, 2009 #2
    Try to show that

    [tex]|1-\bar{\alpha}z|^2=|z-\alpha|^2[/tex] if and only if [tex]|z|^2=1[/tex]

    and keep in mind that

    [tex]|w|^2=w\bar{w}[/tex].
     
  4. Feb 28, 2009 #3
    Thanks.
     
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