Radial and circular slit maps of unbounded multiply connected circle domains-Reference-Cited by-同舟云学术

Radial and circular slit maps of unbounded multiply connected circle domains

Published:2008-03-18 Issue:2095 Volume:464 Page:1719-1737
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

DeLillo T.K¹,Driscoll T.A²,Elcrat A.R¹,Pfaltzgraff J.A³

Affiliation:

1. Department of Mathematics and Statistics, Wichita State UniversityWichita, KS 67620-0033, USA

2. Department of Mathematical Sciences, University of DelawareNewark, DE 19716, USA

3. Department of Mathematics, University of North CarolinaChapel Hill, NC 27599, USA

Abstract

Infinite product formulae for conformally mapping an unbounded multiply connected circle domain to an unbounded canonical radial or circular slit domain, or to domains with both radial and circular slit boundary components are derived and implemented numerically and graphically. The formulae are generated by analytic continuation with the reflection principle. Convergence of the infinite products is proved for domains with sufficiently well-separated boundary components. Some recent progress in the numerical implementation of infinite product mapping formulae is presented.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2008.0006

Reference13 articles.

1. The Schwarz–Christoffel mapping to bounded multiply connected polygonal domains

2. Schwarz–Christoffel mappings to unbounded multiply connected polygonal regions

3. Conformal Mappings between Canonical Multiply Connected Domains

4. Green's functions for Laplace's equation in multiply connected domains

5. Schwarz-Christoffel Mapping of Bounded, Multiply Connected Domains

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