On a Harmonic Univalent Subclass of Functions Involving a Generalized Linear Operator

On a Harmonic Univalent Subclass of Functions Involving a Generalized Linear Operator

In this paper, a subclass of complex-valued harmonic univalent functions defined by a generalized linear operator is introduced. Some interesting results such as coefficient bounds, compactness, and other properties of this class are obtained.

Bibliographic Details
Main Authors: Abdeljabbar Talal Yousef, Zabidin Salleh
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Axioms
Subjects:
harmonic univalent functions
generalized linear operator
differential operator
salagean operator
coefficient bounds
Online Access:https://www.mdpi.com/2075-1680/9/1/32
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spelling doaj-a30a2ae9dbeb43878fc28343f4f0b8bb2020-11-25T03:03:26ZengMDPI AGAxioms2075-16802020-03-01913210.3390/axioms9010032axioms9010032On a Harmonic Univalent Subclass of Functions Involving a Generalized Linear OperatorAbdeljabbar Talal Yousef0Zabidin Salleh1Department of Mathematics, Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Kuala Nerus 21030, Terengganu, MalaysiaDepartment of Mathematics, Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Kuala Nerus 21030, Terengganu, MalaysiaIn this paper, a subclass of complex-valued harmonic univalent functions defined by a generalized linear operator is introduced. Some interesting results such as coefficient bounds, compactness, and other properties of this class are obtained.https://www.mdpi.com/2075-1680/9/1/32harmonic univalent functionsgeneralized linear operatordifferential operatorsalagean operatorcoefficient bounds
collection DOAJ
language English
format Article
sources DOAJ
author Abdeljabbar Talal Yousef
Zabidin Salleh
spellingShingle Abdeljabbar Talal Yousef
Zabidin Salleh
On a Harmonic Univalent Subclass of Functions Involving a Generalized Linear Operator
Axioms
harmonic univalent functions
generalized linear operator
differential operator
salagean operator
coefficient bounds
author_facet Abdeljabbar Talal Yousef
Zabidin Salleh
author_sort Abdeljabbar Talal Yousef
title On a Harmonic Univalent Subclass of Functions Involving a Generalized Linear Operator
title_short On a Harmonic Univalent Subclass of Functions Involving a Generalized Linear Operator
title_full On a Harmonic Univalent Subclass of Functions Involving a Generalized Linear Operator
title_fullStr On a Harmonic Univalent Subclass of Functions Involving a Generalized Linear Operator
title_full_unstemmed On a Harmonic Univalent Subclass of Functions Involving a Generalized Linear Operator
title_sort on a harmonic univalent subclass of functions involving a generalized linear operator
publisher MDPI AG
series Axioms
issn 2075-1680
publishDate 2020-03-01
description In this paper, a subclass of complex-valued harmonic univalent functions defined by a generalized linear operator is introduced. Some interesting results such as coefficient bounds, compactness, and other properties of this class are obtained.
topic harmonic univalent functions
generalized linear operator
differential operator
salagean operator
coefficient bounds
url https://www.mdpi.com/2075-1680/9/1/32
work_keys_str_mv AT abdeljabbartalalyousef onaharmonicunivalentsubclassoffunctionsinvolvingageneralizedlinearoperator
AT zabidinsalleh onaharmonicunivalentsubclassoffunctionsinvolvingageneralizedlinearoperator
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