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

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...

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Bibliographic Details
Published in:Applied mathematics and nonlinear sciences 2023-07, Vol.8 (2), p.2229-2240
Main Authors: Ghanim, F., Batiha, Belal, Ali, Ali Hasan, Darus, M.
Format: Article
Language:English
Subjects:
30C45
30C50
Gaussian hypergeometric function
Hadamard product
Hurwitz-LerchZeta function
Meromorphic function
Subordination principle
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Summary: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.
ISSN:2444-8656
2444-8656
DOI:10.2478/amns.2023.1.00407