Sessions
1. At what points of C is each function conformal?
. . .
.
2. Suppose that is analytic on a convex domain D and . Show that is one-to-one on D
(Hint: , where L is the line segment from to .)
3. Use problem 2 to show that the function is one-to-one on the strip
. (Hint: Verify that the conclusion of problem 2 remains true if .)
(Hint: Verify that the conclusion of problem 2 remains true if .)
is
analytic on a convex domain D and 
.
Show that 
,
where L is the line segment from 
to 
.)
is
one-to-one on the strip 
.
.)