On the linear combinations of harmonic univalent mappings
type: Item
instance of: scholarly article
title: On the linear combinations of harmonic univalent mappings
zbMATH Open document ID: 1272.30032
author: Zhihong Liu
author: Zhi-Gang Wang
author: Yingchun Li
published in: Journal of Mathematical Analysis and Applications
publication date: 2013-03-11T00:00:00Z
review text: Based on two lemmas (one of Pommerenke and the other by Clunie and Sheil and Small), the authors find sufficient conditions such that a linear combination of harmonic functions is univalent and convex in the direction of the real axis. Some examples are given as well.
reviewed by: Dov Aharonov
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 31A05
zbMATH DE Number: 6143224
zbMATH Keywords: harmonic univalent mappings
zbMATH Keywords: linear combination
zbMATH Keywords: shear construction
MaRDI profile type: Publication
full work available at URL: j.jmaa.2012.09.011
OpenAlex ID: W1970732467
DOI: 10.1016/J.JMAA.2012.09.011
description: scientific article; zbMATH DE number 6143224