Fekete-Szegö and second Hankel determinant for a certain subclass of Bi-Univalent functions associated with lucas-balancing polynomials
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Authors
Hussen, Abdulmtalb
Illafe, Mohamed
Zeyani, Abdelbaset
Advisors
Issue Date
2024-11-06
Type
Article
Keywords
Analytic functions , Bi-univalent functions , Fekete-Szegö functional , Lucas-Balancing polynomials , Second Hankel determinant , Taylor-Maclaurin coefficients
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.
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Publisher
American Scientific Publishing Group (ASPG)
Journal
International Journal of Neutrosophic Science
Book Title
Series
PubMed ID
ISSN
26926148