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New Results on Differential Subordination and Superordination for Multivalent Functions Involving New Symmetric Operator

Authors :
Abdul Rahman S. Juma
Nihad Hameed Shehab
Daniel Breaz
Luminiţa-Ioana Cotîrlă
Maslina Darus
Alin Danciu
Source :
Symmetry, Vol 16, Iss 10, p 1326 (2024)
Publication Year :
2024
Publisher :
MDPI AG, 2024.

Abstract

This article aims to significantly advance geometric function theory by providing a valuable contribution to analytic and multivalent functions. It focuses on differential subordination and superordination, which characterize the interactions between analytic functions. To achieve our goal, we employ a method that relies on the characteristics of differential subordination and superordination. As one of the latest advancements in this field, this technique is able to derive several results about differential subordination and superordination for multivalent functions defined by the new operator Mλ,pmv,ρ;ηFξ within the open unit disk A. Additionally, by employing the technique, the differential sandwich outcome is achieved. Therefore, this work presents crucial exceptional instances that follow the results. The findings of this paper can be applied to a wide range of mathematical and engineering problems, including system identification, orthogonal polynomials, fluid dynamics, signal processing, antenna technology, and approximation theory. Furthermore, this work significantly advances the knowledge and understanding of the analytical functions of the unit and its interactive higher relations. The characteristics and consequences of differential subordination theory are symmetric to those of differential superordination theory. By combining them, sandwich-type theorems can be derived.

Details

Language :
English
ISSN :
20738994
Volume :
16
Issue :
10
Database :
Directory of Open Access Journals
Journal :
Symmetry
Publication Type :
Academic Journal
Accession number :
edsdoj.f1e7b8833604e939c1050952fa972f2
Document Type :
article
Full Text :
https://doi.org/10.3390/sym16101326