New Differential Subordination and Superordination Results for a subclass of Meromorphic Univalent Functions Defined by a New Operator

Mustafa A.  Sabri; Waggas Galib  Atshan; Essam  El-Seidy

doi:10.24996/ijs.2025.66.2.10

Authors

Mustafa A. Sabri Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt. / Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq https://orcid.org/0000-0002-8206-7043
Waggas Galib Atshan Department of Mathematics, College of Science, University of Al-Qadisiyah, Diwaniyah
Essam El-Seidy Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt

DOI:

https://doi.org/10.24996/ijs.2025.66.2.10

Keywords:

Meromorphic univalent function, Analytic function, Subordinate, differential subordination, dominant, Hadamard product, sandwich theorem

Abstract

In this paper, we explore and introduce a novel study employing a new operator denoted as W_(ν,γ,δ,τ,n,r,d)^(η,s) within the field of geometric function theory, particularly in the context of sandwich theorems. We derive results pertaining to differential subordination and superordination for this new formula operator. Additionally, we establish specific sandwich theorems.