The approximate conformal mapping onto multiply connected domains
Journal Title: Проблемы анализа-Issues of Analysis - Year 2019, Vol 8, Issue 1
Abstract
The method of boundary curve reparametrization is generalized to the case of multiply connected domains. We construct the approximate analytical conformal mapping of the unit disk with N circular slits or an annulus with (N - 1) circular slits onto an arbitrary (N + 1) multiply connected finite domain with a smooth boundary. The method is based on the solution of the Fredholm equation. This solution is reduced to the solution of a linear system with unknown Fourier coefficients. The approximate mapping function has the form of a set of Laurent polynomials in the set of annular regions The method is easily computable.
Authors and Affiliations
D. Abzalilov, E. Shirokova
Keywords
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- EP ID EP493210
- DOI 10.15393/j3.art.2019.5050
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