Coefficient Bounds for a Certain Subclass of Bi-Univalent Functions Associated with Lucas-Balancing Polynomials

Autor:	Abdulmtalb Hussen, Mohamed Illafe
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Balancing polynomial Lucas-Balancing polynomials bi-univalent functions analytic functions Taylor–Maclaurin coefficients Fekete–Szegö functional Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 24, p 4941 (2023)
Druh dokumentu:	article
ISSN:	11244941 2227-7390
DOI:	10.3390/math11244941
Popis:	In this paper, we introduce a new subclass of bi-univalent functions defined using Lucas-Balancing polynomials. For functions in each of these bi-univalent function subclasses, we derive estimates for the Taylor–Maclaurin coefficients a2 and a3 and address the Fekete–Szegö functional problems for functions belonging to this new subclass. We demonstrate that several new results can be derived by specializing the parameters in our main findings. The results obtained from this study will enrich the theoretical foundation of this field and open new avenues for mathematical inquiry and application.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e883221bbeed46259832acb1df93118f Zobrazit plný text záznamu View record in DOAJ