On Fekete–Szegö Problems for Certain Subclasses of Analytic Functions Defined by Differential Operator Involving q-Ruscheweyh Operator

On Fekete–Szegö Problems for Certain Subclasses of Analytic Functions Defined by Differential Operator Involving q-Ruscheweyh Operator

In this paper, we define a new derivative operator involving q-Ruscheweyh differential operator using convolution. Using this new operator, we introduce two new classes of analytic functions and obtain the Fekete–Szegö inequalities.

Bibliographic Details
Main Authors: Abdullah Alsoboh, Maslina Darus
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/8459405
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spelling doaj-e6fd8a0027304b3793543616d0a218da2020-11-24T21:43:28ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/84594058459405On Fekete–Szegö Problems for Certain Subclasses of Analytic Functions Defined by Differential Operator Involving q-Ruscheweyh OperatorAbdullah Alsoboh0Maslina Darus1Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, MalaysiaDepartment of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, MalaysiaIn this paper, we define a new derivative operator involving q-Ruscheweyh differential operator using convolution. Using this new operator, we introduce two new classes of analytic functions and obtain the Fekete–Szegö inequalities.http://dx.doi.org/10.1155/2020/8459405
collection DOAJ
language English
format Article
sources DOAJ
author Abdullah Alsoboh
Maslina Darus
spellingShingle Abdullah Alsoboh
Maslina Darus
On Fekete–Szegö Problems for Certain Subclasses of Analytic Functions Defined by Differential Operator Involving q-Ruscheweyh Operator
Journal of Function Spaces
author_facet Abdullah Alsoboh
Maslina Darus
author_sort Abdullah Alsoboh
title On Fekete–Szegö Problems for Certain Subclasses of Analytic Functions Defined by Differential Operator Involving q-Ruscheweyh Operator
title_short On Fekete–Szegö Problems for Certain Subclasses of Analytic Functions Defined by Differential Operator Involving q-Ruscheweyh Operator
title_full On Fekete–Szegö Problems for Certain Subclasses of Analytic Functions Defined by Differential Operator Involving q-Ruscheweyh Operator
title_fullStr On Fekete–Szegö Problems for Certain Subclasses of Analytic Functions Defined by Differential Operator Involving q-Ruscheweyh Operator
title_full_unstemmed On Fekete–Szegö Problems for Certain Subclasses of Analytic Functions Defined by Differential Operator Involving q-Ruscheweyh Operator
title_sort on fekete–szegö problems for certain subclasses of analytic functions defined by differential operator involving q-ruscheweyh operator
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2020-01-01
description In this paper, we define a new derivative operator involving q-Ruscheweyh differential operator using convolution. Using this new operator, we introduce two new classes of analytic functions and obtain the Fekete–Szegö inequalities.
url http://dx.doi.org/10.1155/2020/8459405
work_keys_str_mv AT abdullahalsoboh onfeketeszegoproblemsforcertainsubclassesofanalyticfunctionsdefinedbydifferentialoperatorinvolvingqruscheweyhoperator
AT maslinadarus onfeketeszegoproblemsforcertainsubclassesofanalyticfunctionsdefinedbydifferentialoperatorinvolvingqruscheweyhoperator
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