Article
A potential-theoretic construction of the Schwarz–Christoffel map for finitely connected domains
Complex Variables and Elliptic Equations
(2011)
Abstract
We explicitly construct the Schwarz–Christoffel map from a (bounded or unbounded) finitely connected Jordan domain to a (bounded or unbounded) finitely connected polygonal domain. The map is derived in terms of Green's function and the harmonic measure functions of the Jordan domain which need not be a canonical multiply connected domain.
Keywords
- Schwarz–Christoffel maps,
- potential theory,
- conformal mapping
Disciplines
Publication Date
2011
DOI
10.1080/17476933.2011.561333
Publisher Statement
This is the Author’s Original Manuscript of an article published by Taylor and Francis in Complex Variables and Elliptic Equations on August 1, 2011. It is available online at http://dx.doi.org/10.1080/17476933.2011.561333. Posted with permission.
Copyright 2013 Taylor & Francis
Citation Information
Valentin V. Andreev and Timothy H. McNicholl. "A potential-theoretic construction of the Schwarz–Christoffel map for finitely connected domains" Complex Variables and Elliptic Equations Vol. 58 Iss. 2 (2011) p. 163 - 183 Available at: http://works.bepress.com/timothy-mcnicholl/2/