Work

Upper Bounds and Fekete–Szegö Problem for Bi-Univalent Functions Involving Bazilevič and λ-Pseudo Functions Related to Lucas-Balancing Polynomials

Year: 2026

Type: article

Abstract: This work introduces two novel classes of bi-univalent functions, denoted by ℬΣ(μ, γ, λ; r) and ΡΣ(μ, γ, λ; r), linked to Lucas-Balancing polynomials within the open unit disk. For functions pertaining to these newly defined classes, we establish estimates for the early Taylor–Maclaurin coefficients |a2| and |a3|. Furthermore, the Fekete–Szegö functional inequalities are evaluated for these families. Subsequently, relevant particular cases and corollaries stemming from our primary findings are emphasized through parameter specialization.

Source: Mathematics

DOI: 10.3390/math14193564

Authors: Shaymaa Y. Alkufi, Abbas Kareem Wanas, Alina Alb Lupas

Institutions: University of Kufa, University of Al-Qadisiyah, University of Oradea

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W7215049368