- #1

brkomir

- 34

- 0

## Homework Statement

Find all linear transformations ##f(z)=az+b## which map half-plane ##Im(z)>0## on ##Im(z)>0##. It is a so called self-mapping transformation.

## Homework Equations

## The Attempt at a Solution

I am guessing this will have something to do with Möbius transformation, but sadly I haven't got even a clue on how to start with this problem.

If one could please give me hint, I would be really happy.

Cheers,

brko