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Complex variables, maximum value

  • Thread starter babyrudin
  • Start date
8
0
2. Homework Equations
Let [tex]w \in C[/tex] be a fixed complex number with [tex]|w|<1[/tex]. Let
[tex]f(z)=\frac{z-w}{1-\bar{w}z}.[/tex]
Calculate its maximum value in the region [tex]|z| \leq 1[/tex].

3. The Attempt at a Solution
How should I approach this? Not sure if maximum modulus principle is of much help.
 

Answers and Replies

8
0
Any idea on this?
 

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