Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions

Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions

We introduce a new subclass of analytic functions in the unit disk U, defined by using the generalized hypergeometric functions, which extends some previous well-known classes defined by different authors. Inclusion results, radius problems, and some connections with the Bernardi-Libera-Livingston i...

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Main Authors: Badr S. Alkahtani, Saima Mustafa, Teodor Bulboacă
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2016/7390410
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spelling doaj-77545fc9ffca49c6b2d5af0bd13d41582020-11-25T00:34:20ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/73904107390410Subclasses of Analytic Functions Defined by Generalized Hypergeometric FunctionsBadr S. Alkahtani0Saima Mustafa1Teodor Bulboacă2Mathematics Department, College of Science, King Saud University, P.O. Box 1142, Riyadh 11989, Saudi ArabiaDepartment of Mathematics, Pir Mehr Ali Shah Arid Agriculture University, Rawalpindi, PakistanFaculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, RomaniaWe introduce a new subclass of analytic functions in the unit disk U, defined by using the generalized hypergeometric functions, which extends some previous well-known classes defined by different authors. Inclusion results, radius problems, and some connections with the Bernardi-Libera-Livingston integral operator are discussed.http://dx.doi.org/10.1155/2016/7390410
collection DOAJ
language English
format Article
sources DOAJ
author Badr S. Alkahtani
Saima Mustafa
Teodor Bulboacă
spellingShingle Badr S. Alkahtani
Saima Mustafa
Teodor Bulboacă
Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions
Journal of Function Spaces
author_facet Badr S. Alkahtani
Saima Mustafa
Teodor Bulboacă
author_sort Badr S. Alkahtani
title Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions
title_short Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions
title_full Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions
title_fullStr Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions
title_full_unstemmed Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions
title_sort subclasses of analytic functions defined by generalized hypergeometric functions
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2016-01-01
description We introduce a new subclass of analytic functions in the unit disk U, defined by using the generalized hypergeometric functions, which extends some previous well-known classes defined by different authors. Inclusion results, radius problems, and some connections with the Bernardi-Libera-Livingston integral operator are discussed.
url http://dx.doi.org/10.1155/2016/7390410
work_keys_str_mv AT badrsalkahtani subclassesofanalyticfunctionsdefinedbygeneralizedhypergeometricfunctions
AT saimamustafa subclassesofanalyticfunctionsdefinedbygeneralizedhypergeometricfunctions
AT teodorbulboaca subclassesofanalyticfunctionsdefinedbygeneralizedhypergeometricfunctions
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