maps disc |z|<1 to

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- Feb 10th 2009, 10:43 PMszpengchaohow to show this is a conformal map
maps disc |z|<1 to

- Feb 11th 2009, 03:48 PMThePerfectHacker
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. (Surprised)