Fekete-Szegö and second Hankel determinant for a certain subclass of Bi-Univalent functions associated with lucas-balancing polynomials
Hussen, Abdulmtalb Illafe, Mohamed Zeyani, Abdelbaset
Hussen, Abdulmtalb
Illafe, Mohamed
Zeyani, Abdelbaset
Citations
Altmetric:
Other Names
Location
Time Period
Advisors
Original Date
Digitization Date
Issue Date
2024-11-06
Type
Article
Genre
Keywords
Analytic functions,Bi-univalent functions,Fekete-Szegö functional,Lucas-Balancing polynomials,Second Hankel determinant,Taylor-Maclaurin coefficients
Subjects (LCSH)
Citation
Hussen, A. Illafe, M. Zeyani, A. (2025). Fekete-Szeg¨o and Second Hankel Determinant for a Certain Subclass of Bi-Univalent Functions associated with Lucas-Balancing Polynomials. International Journal of Neutrosophic Science, (), 417-434. DOI: https://doi.org/10.54216/IJNS.250336
Abstract
In this paper, a new subclass of bi-univalent functions linked to Lucas-Balancing polynomials is introduced. Bounds for the coefficients in the Taylor-Maclaurin series, denoted as |a2| and |a3|, are determined for these functions. The Fekete-Szegö functional problems are also addressed, and bounds for the second Hankel determinant for functions in this specific subclass are established. Additionally, it is shown that by adjusting the parameters in the main findings, several new results can be derived. © 2025, American Scientific Publishing Group (ASPG). All rights reserved.
Table of Contents
Description
Click on the DOI link to access this article at the publishers website (may not be free).
Publisher
American Scientific Publishing Group (ASPG)
Journal
International Journal of Neutrosophic Science
Book Title
Series
Digital Collection
Finding Aid URL
Use and Reproduction
Archival Collection
PubMed ID
ISSN
26926148