A new invariant characteristic property of Möbius transformations from the standpoint of conformal mapping
type: Item
instance of: scholarly article
title: A new invariant characteristic property of Möbius transformations from the standpoint of conformal mapping
zbMATH Open document ID: 0796.39008
published in: Journal of Mathematical Analysis and Applications
publication date: 1994-06-16T00:00:00Z
review text: The characterization offered identifies the Möbius transformations among those representing (univalent) meromorphic complex functions, analytic on a nontrivial region, by the property that they preserve the sums of opposite angles in nonintersecting quadrangles.
reviewed by: János Aczél
Mathematics Subject Classification ID: 39B22
Mathematics Subject Classification ID: 30C20
zbMATH DE Number: 566975
zbMATH Keywords: quadrangles
zbMATH Keywords: angles
zbMATH Keywords: circle-preserving transformations
zbMATH Keywords: removable singularities
zbMATH Keywords: open mapping theorems
zbMATH Keywords: Möbius transformations
author: Hiroshi Haruki
author: Themistocles M. Rassias
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1024
OpenAlex ID: W2067387781
DOI: 10.1006/JMAA.1994.1024
description: scientific article; zbMATH DE number 566975