- #1

skrat

- 748

- 8

## Homework Statement

Find analitical function ##f## that maps half-plane ##Re(z)<-3## conformal on:

a) half-plane ##Re(z)>0##

b) half-plane ##Im(z)>0##

c) open first quadrant

d) open second quadrant

e) open unit circle

## Homework Equations

## The Attempt at a Solution

I am somehow convinced that my solutions are wrong, please correct me if necessary and help me with e).

a): ##f(z)=|z|-3##

b): ##f(z)=i(|z|-3)##

c): ##f(z)=|z|-3+i(|z|-3)##

d): ##f(z)=|z|+3+i(|z|-3)##

e): ...?