Conformal mappings - Let O be the upper half of the unit disc D. Find a conformal mapping f: O->D that maps {-1,0,1} to {-1,-i,1}.
Find z in O with f(z)=0
Complex analysis conformal mapping - a) Find a bijective conformal mapping that takes a bounded region to an unbounded region
b) Prove that a conformal map cannot take a simply connected region onto a region that is not simply connected ...
Mobius/conformal Maps - (1) For j = 1,2 let R_j be the circle of diameter j/2 and center at (j/4)i. Also, let p(z) = 1/z be the inversion map.
(a) If G is the region outside R_1 and inside R_2 then prove that p(G) = {z : ...