conformal map, upper half-plane
Find a conformal map )
of the right half-disk , |z|<1 \})
onto the upper half-plane that maps 
to 
, 
to 
, and to 
. What is )
?
The back of the book says that ^2}{(z-i)^2})
, =1)
. However, I still do not see how they get . For the second part we can plug in 
to get as the output. I just don't see how to get . Thanks in advance.
