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Symmetry 2019, 11(2), 210; https://doi.org/10.3390/sym11020210

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

Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
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Received: 26 December 2018 / Revised: 29 January 2019 / Accepted: 30 January 2019 / Published: 12 February 2019
(This article belongs to the Special Issue Integral Transforms and Operational Calculus)
Full-Text   |   PDF [774 KB, uploaded 13 February 2019]

Abstract

This study defines a new linear differential operator via the Hadamard product between a q-hypergeometric function and Mittag–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. View Full-Text
Keywords: differential operator; q-hypergeometric functions; meromorphic function; Mittag–Leffler function; Hadamard product differential operator; q-hypergeometric functions; meromorphic function; Mittag–Leffler function; Hadamard product
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Elhaddad, S.; Darus, M. On Meromorphic Functions Defined by a New Operator Containing the Mittag–Leffler Function. Symmetry 2019, 11, 210.

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