Generalization of the Schwarz-Christoffel mapping to multiply connected polygonal domains

• Published in: Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Vol. 470; no. 2166; p. 20130848
• Main Author: Vasconcelos, Giovani L
• Format: Journal Article
• Language: English
• Published: England 08.06.2014
• Subjects: multiply connected domains; Schwarz–Christoffel transformation; conformal mappings

A generalization of the Schwarz-Christoffel mapping to multiply connected polygonal domains is obtained by making a combined use of two preimage domains, namely, a rectilinear slit domain and a bounded circular domain. The conformal mapping from the circular domain to the polygonal region is written...