On Meromorphic Functions Defined by a New Operator Containing the Mittag–Leffler Function

On Meromorphic Functions Defined by a New Operator Containing the Mittag–Leffler Function

This study defines a new linear differential operator via the Hadamard product between a <i>q</i>-hypergeometric function and Mittag&#8315;Leffler function. The application of the linear differential operator generates a new subclass of meromorphic function. Additionally, the study e...

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Bibliographic Details
Main Authors: Suhila Elhaddad, Maslina Darus
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Symmetry
Subjects:
differential operator
<i>q</i>-hypergeometric functions
meromorphic function
Mittag–Leffler function
Hadamard product
Online Access:https://www.mdpi.com/2073-8994/11/2/210
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spelling doaj-8f313057c39f45e2b64b15c39d70cc7b2020-11-24T23:31:17ZengMDPI AGSymmetry2073-89942019-02-0111221010.3390/sym11020210sym11020210On Meromorphic Functions Defined by a New Operator Containing the Mittag–Leffler FunctionSuhila Elhaddad0Maslina Darus1Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, MalaysiaFaculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, MalaysiaThis study defines a new linear differential operator via the Hadamard product between a <i>q</i>-hypergeometric function and Mittag&#8315;Leffler function. The application of the linear differential operator generates a new subclass of meromorphic function. Additionally, the study explores various properties and features, such as convex properties, distortion, growth, coefficient inequality and radii of starlikeness. Finally, the work discusses closure theorems and extreme points.https://www.mdpi.com/2073-8994/11/2/210differential operator<i>q</i>-hypergeometric functionsmeromorphic functionMittag–Leffler functionHadamard product
collection DOAJ
language English
format Article
sources DOAJ
author Suhila Elhaddad
Maslina Darus
spellingShingle Suhila Elhaddad
Maslina Darus
On Meromorphic Functions Defined by a New Operator Containing the Mittag–Leffler Function
Symmetry
differential operator
<i>q</i>-hypergeometric functions
meromorphic function
Mittag–Leffler function
Hadamard product
author_facet Suhila Elhaddad
Maslina Darus
author_sort Suhila Elhaddad
title On Meromorphic Functions Defined by a New Operator Containing the Mittag–Leffler Function
title_short On Meromorphic Functions Defined by a New Operator Containing the Mittag–Leffler Function
title_full On Meromorphic Functions Defined by a New Operator Containing the Mittag–Leffler Function
title_fullStr On Meromorphic Functions Defined by a New Operator Containing the Mittag–Leffler Function
title_full_unstemmed On Meromorphic Functions Defined by a New Operator Containing the Mittag–Leffler Function
title_sort on meromorphic functions defined by a new operator containing the mittag–leffler function
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2019-02-01
description This study defines a new linear differential operator via the Hadamard product between a <i>q</i>-hypergeometric function and Mittag&#8315;Leffler function. The application of the linear differential operator generates a new subclass of meromorphic function. Additionally, the study explores various properties and features, such as convex properties, distortion, growth, coefficient inequality and radii of starlikeness. Finally, the work discusses closure theorems and extreme points.
topic differential operator
<i>q</i>-hypergeometric functions
meromorphic function
Mittag–Leffler function
Hadamard product
url https://www.mdpi.com/2073-8994/11/2/210
work_keys_str_mv AT suhilaelhaddad onmeromorphicfunctionsdefinedbyanewoperatorcontainingthemittaglefflerfunction
AT maslinadarus onmeromorphicfunctionsdefinedbyanewoperatorcontainingthemittaglefflerfunction
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