Complex variables, maximum value

Thread starter babyrudin
Start date Mar 18, 2008
Tags

Complex Complex variables Maximum Value Variables

Mar 18, 2008

babyrudin

Homework Equations

Let w \in C be a fixed complex number with |w|<1. Let
f(z)=\frac{z-w}{1-\bar{w}z}.
Calculate its maximum value in the region |z| \leq 1.

The Attempt at a Solution

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

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Mar 19, 2008

babyrudin

Any idea on this?

Thread 'Complex Numbers (Laurent Series)'

see attached.

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