Possible Duplicate:
Conformal map of a doubly connected region to an annulus
Hi. I am a Mechanical Engineering student. I'm not good at complex variable theory and having problem with finding conformal mapping of a doubly connected region to an annulus (or vice versa).
I know that the annulus is bounded by two circles with inner radius r and outer radius R and the inner and outer radii are not independent and the ratio R/r must be determined uniqely by the doubly connected region.
My doubly connected region is actually a hollow shape in which the inner and outer boundaries are geometrically similar and concentric. Parametric shape functions of the inner and outer boundaries in x-y plane are expressed as: {X=F(theta), Y=G(theta)}.
I would be really thankful if you could help me over this issue or introduce to me some useful references.
B.G.B
