MathOverflow is a question and answer site for professional mathematicians. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

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.


share|cite|improve this question
What is the point of asking the same question three times? – Andrey Rekalo Jan 24 '11 at 17:12

Nick Trefethen is the world expert on numerical conformal mapping, so you might want to look at:

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.