maps disc |z|<1 to
Let be the map .
Let be the map .
Let be the map .
Let be the map .
Let be the map .
Then, is .
1)The conformal map maps the disk to the half-plane .
2)The conformal map maps the half-plane to .
3)The conformal map maps the half-plane to .
4)The problem is that is not conformal on this half-plane.