Complex variables, maximum value

babyrudin
Messages
8
Reaction score
0

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.
 
Physics news on Phys.org
Any idea on this?
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'
Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...

Similar threads

Replies
13
Views
2K
Replies
4
Views
1K
Replies
2
Views
2K
Replies
8
Views
2K
Replies
5
Views
2K
Replies
5
Views
2K
Back
Top