Geometric Properties of a Linear Complex Operator on a Subclass of Meromorphic Functions: An Analysis of Hurwitz-Lerch-Zeta Functions-Reference-Cited by-同舟云学术

Geometric Properties of a Linear Complex Operator on a Subclass of Meromorphic Functions: An Analysis of Hurwitz-Lerch-Zeta Functions

Published:2023-06-15 Issue:2 Volume:8 Page:2229-2240
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Ghanim F.¹,Batiha Belal²,Ali Ali Hasan³⁴⁵,Darus M.⁶

Affiliation:

1. 1 Department of Mathematics, College of Sciences , University of Sharjah , Sharjah , United Arab Emirates.

2. 2 Faculty of Science and Information Technology, Mathematics Department , Jadara University , Jordan .

3. 3 Department of Mathematics, College of Education for Pure Sciences , University of Basrah , Basrah , , Iraq .

4. 4 College of Engineering Technology , National University of Science and Technology , Dhi Qar , Iraq

5. 5 Institute of Mathematics , University of Debrecen , Pf. 400, H-4002 Debrecen , Hungary .

6. 6 Department of Mathematical Sciences, Faculty of Science and Technology , Universiti Kebangsaan Malaysia , Bangi 43600 Selangor D. Ehsan , Malaysia .

Abstract

Abstract Geometric function theory (GFT) is one of the richest research disciplines in complex analysis. This discipline also deals with the extended differential inequality theory, known as the differential subordination theory. Based on these theories, this study focuses on analyzing intriguing aspects of the geometric subclass of meromorphic functions in terms of a linear complex operator and a special class of Hurwitz-Lerch-Zeta functions. Hence, several of its geometric attributes are deduced. Furthermore, the paper highlights the different fascinating advantages and applications of various new geometric subclasses in relation to the subordination and inclusion theorems.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.2478/amns.2023.1.00407

Reference27 articles.

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