Complex variables, maximum value

Thread starter babyrudin
Start date Mar 18, 2008
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Complex Complex variables Maximum Value Variables

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babyrudin

Thread starter
Mar 18, 2008

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].

The Attempt at a Solution

How should I approach this? Not sure if maximum modulus principle is of much help.

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babyrudin

Mar 19, 2008

Any idea on this?

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Complex variables, maximum value

Homework Equations

The Attempt at a Solution

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