Harmonic Starlike Functions with Respect to Symmetric Points

Harmonic Starlike Functions with Respect to Symmetric Points

In the paper we define classes of harmonic starlike functions with respect to symmetric points and obtain some analytic conditions for these classes of functions. Some results connected to subordination properties, coefficient estimates, integral representation, and distortion theorems are also obta...

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Bibliographic Details
Main Authors: Nak Eun Cho, Jacek Dziok
Format: Article
Language:English
Published: MDPI AG 2019-12-01
Series:Axioms
Subjects:
harmonic functions
janowski functions
starlike functions
extreme points
subordination
Online Access:https://www.mdpi.com/2075-1680/9/1/3
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spelling doaj-76b39524d72946729cddac3b7ab9bf012020-11-25T01:30:10ZengMDPI AGAxioms2075-16802019-12-0191310.3390/axioms9010003axioms9010003Harmonic Starlike Functions with Respect to Symmetric PointsNak Eun Cho0Jacek Dziok1Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Busan 608-737, KoreaFaculty of Mathematics and Natural Sciences, University of Rzeszow, aleja Tadeusza Rejtana 16C, 35-310 Rzeszów, PolandIn the paper we define classes of harmonic starlike functions with respect to symmetric points and obtain some analytic conditions for these classes of functions. Some results connected to subordination properties, coefficient estimates, integral representation, and distortion theorems are also obtained.https://www.mdpi.com/2075-1680/9/1/3harmonic functionsjanowski functionsstarlike functionsextreme pointssubordination
collection DOAJ
language English
format Article
sources DOAJ
author Nak Eun Cho
Jacek Dziok
spellingShingle Nak Eun Cho
Jacek Dziok
Harmonic Starlike Functions with Respect to Symmetric Points
Axioms
harmonic functions
janowski functions
starlike functions
extreme points
subordination
author_facet Nak Eun Cho
Jacek Dziok
author_sort Nak Eun Cho
title Harmonic Starlike Functions with Respect to Symmetric Points
title_short Harmonic Starlike Functions with Respect to Symmetric Points
title_full Harmonic Starlike Functions with Respect to Symmetric Points
title_fullStr Harmonic Starlike Functions with Respect to Symmetric Points
title_full_unstemmed Harmonic Starlike Functions with Respect to Symmetric Points
title_sort harmonic starlike functions with respect to symmetric points
publisher MDPI AG
series Axioms
issn 2075-1680
publishDate 2019-12-01
description In the paper we define classes of harmonic starlike functions with respect to symmetric points and obtain some analytic conditions for these classes of functions. Some results connected to subordination properties, coefficient estimates, integral representation, and distortion theorems are also obtained.
topic harmonic functions
janowski functions
starlike functions
extreme points
subordination
url https://www.mdpi.com/2075-1680/9/1/3
work_keys_str_mv AT nakeuncho harmonicstarlikefunctionswithrespecttosymmetricpoints
AT jacekdziok harmonicstarlikefunctionswithrespecttosymmetricpoints
_version_ 1725093131192369152

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