A potential-theoretic construction of the Schwarz–Christoffel map for finitely connected domainsComplex Variables and Elliptic Equations (2011)
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.
- Schwarz–Christoffel maps,
- potential theory,
- conformal mapping
Citation InformationValentin 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/