A Subfamily of Univalent Functions Associated with q-Analogue of Noor Integral Operator

The main objective of the present paper is to define a new subfamily of analytic functions using subordinations along with the newly defined q-Noor integral operator. We investigate a number of useful properties such as coefficient estimates, integral representation, linear combination, weighted and...

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Main Authors: Muhammad Arif, Miraj Ul Haq, Jin-Lin Liu
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/3818915
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author Muhammad Arif
Miraj Ul Haq
Jin-Lin Liu
author_facet Muhammad Arif
Miraj Ul Haq
Jin-Lin Liu
author_sort Muhammad Arif
collection DOAJ
description The main objective of the present paper is to define a new subfamily of analytic functions using subordinations along with the newly defined q-Noor integral operator. We investigate a number of useful properties such as coefficient estimates, integral representation, linear combination, weighted and arithmetic means, and radius of starlikeness for this class.
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institution Kabale University
issn 2314-8896
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language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-48ba2fdf2f9d4ddbacb8cd2ded4156182025-08-20T03:36:01ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/38189153818915A Subfamily of Univalent Functions Associated with q-Analogue of Noor Integral OperatorMuhammad Arif0Miraj Ul Haq1Jin-Lin Liu2Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan, PakistanDepartment of Mathematics, Yangzhou University, Yangzhou 225002, ChinaThe main objective of the present paper is to define a new subfamily of analytic functions using subordinations along with the newly defined q-Noor integral operator. We investigate a number of useful properties such as coefficient estimates, integral representation, linear combination, weighted and arithmetic means, and radius of starlikeness for this class.http://dx.doi.org/10.1155/2018/3818915
spellingShingle Muhammad Arif
Miraj Ul Haq
Jin-Lin Liu
A Subfamily of Univalent Functions Associated with q-Analogue of Noor Integral Operator
Journal of Function Spaces
title A Subfamily of Univalent Functions Associated with q-Analogue of Noor Integral Operator
title_full A Subfamily of Univalent Functions Associated with q-Analogue of Noor Integral Operator
title_fullStr A Subfamily of Univalent Functions Associated with q-Analogue of Noor Integral Operator
title_full_unstemmed A Subfamily of Univalent Functions Associated with q-Analogue of Noor Integral Operator
title_short A Subfamily of Univalent Functions Associated with q-Analogue of Noor Integral Operator
title_sort subfamily of univalent functions associated with q analogue of noor integral operator
url http://dx.doi.org/10.1155/2018/3818915
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