Conformal mappings of a half-plane onto domains with transfer symmetry
type: Item
instance of: scholarly article
title: Conformal mappings of a half-plane onto domains with transfer symmetry
zbMATH Open document ID: 0985.30007
author: R. Smith
published in: Russian Mathematics
publication date: 2001-03-07T00:00:00Z
review text: Let \(D\) be a simply connected domain in the complex plane and suppose that the boundary of \(D\) consists of segments and rays and has transfer symmetry; the latter condition means that there exists a positive constant \(T\) such that if \(w\) is a boundary point, then \(w+T\) is also a boundary point. Assume also that the boundary arc from \(w\) to \(w+T\) consists of a finite number of segments or rays. The case of domains with \(T\)-transfer symmetry for all \(T\) (e.g. a half-plane) is excluded. Under these conditions, the author offers a Schwarz-Christoffel-type formula for the conformal mapping of the upper half-plane onto \(D\). He also provides some examples where the formula is applied.
reviewed by: Dimitrios Betsakos
Mathematics Subject Classification ID: 30C35
Mathematics Subject Classification ID: 30C20
Mathematics Subject Classification ID: 30E20
zbMATH DE Number: 1541487
zbMATH Keywords: conformal mapping
zbMATH Keywords: Schwarz Christofel formula
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1541487