(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Homework Help: Complex variables, maximum value

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