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
Conformal Mapping - Find a conformal mapping from the unit disc Δ(0,1) = {z|z|<1} to D={z:|z|<1}[0,1].
Please see attached for diagram.
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 Transformations and 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 : ...