Classes of harmonic functions defined by subordination
type: Item
instance of: scholarly article
title: Classes of harmonic functions defined by subordination
zbMATH Open document ID: 1345.31001
DOI: 10.1155/2015/756928
author: Jacek Dziok
published in: Abstract and Applied Analysis
publication date: 2016-08-26T00:00:00Z
review text: Summary: New classes of univalent harmonic functions are introduced. We give sufficient coefficient conditions for these classes. These coefficient conditions are shown to be also necessary if certain restrictions are imposed on the coefficients of these harmonic functions. By using extreme points theory we also obtain coefficients estimates, distortion theorems, and integral mean inequalities for these classes of functions. Radii of convexity and starlikeness of the classes are also considered.
Mathematics Subject Classification ID: 31A05
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 30C50
zbMATH DE Number: 6619885
zbMATH Keywords: new classes of harmonic functions in the disk
zbMATH Keywords: coefficient estimates
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/756928
OpenAlex ID: W2175604970
Wikidata QID: Q59101422
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description: scientific article; zbMATH DE number 6619885