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Complex analysis

  • Thread starter asi123
  • Start date
  • #1
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Homework Statement



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.


Homework Equations





The Attempt at a Solution

 

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Answers and Replies

  • #2
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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].
 
  • #3
258
0
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].
Thanks.
 

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