<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

Department of Mathematics, College of Sciences

Faculty of Science and Information Technology, Mathematics Department

Department of Mathematics, College of Education for Pure Sciences

National University of Science and Technology

Department of Mathematical Sciences, Faculty of Science and Technology

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

Geometric function theory (GFT) is one of the richest research disciplines in complex analysis. This discipline also deals with the extended differential...

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

Published Online: Jun 15, 2023

Page range: 2229 - 2240

Received: Sep 14, 2022

Accepted: Dec 19, 2022

DOI: https://doi.org/10.2478/amns.2023.1.00407

Keywords
Meromorphic function, Hadamard product, Subordination principle, Gaussian hypergeometric function, Hurwitz-LerchZeta function

© 2023 F. Ghanim et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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

Published Online: Jun 15, 2023

Page range: 2229 - 2240

Received: Sep 14, 2022

Accepted: Dec 19, 2022

DOI: https://doi.org/10.2478/amns.2023.1.00407

KeywordsMeromorphic function, Hadamard product, Subordination principle, Gaussian hypergeometric function, Hurwitz-LerchZeta function

© 2023 F. Ghanim et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Meromorphic function, Hadamard product, Subordination principle, Gaussian hypergeometric function, Hurwitz-LerchZeta function