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...

Full description

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
Description
Summary: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.
ISSN:2073-8994

Similar Items