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Homework Help: Complex variables, maximum value

  1. Mar 18, 2008 #1
    2. Relevant 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.
     
  2. jcsd
  3. Mar 19, 2008 #2
    Any idea on this?
     
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