Open Journal of Mathematical Analysis
Vol. 7 (2023), Issue 2, pp. 21- 30
ISSN: 2616-8111 (Online) 2616-8103 (Print)
DOI: 10.30538/psrp-oma2023.0128
Upper Estimates For Initial Coefficients and Fekete-Szegö Functional of A Class of Bi-univalent Functions Defined by Means of Subordination and Associated with Horadam Polynomials
Atinuke Ayanfe Amao\(^{1,*}\) and Timothy Oloyede Opoola\(^{1}\)
\(^{1}\) Department of Mathematics, Faculty of Physical Sciences, University of Ilorin. PMB 1515, Ilorin, Nigeria.
Copyright © 2023 Atinuke Ayanfe Amao and Timothy Oloyede Opoola. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Received: October 7, 2023 – Accepted: December 2, 2023 – Published: December 29, 2023
Abstract
In this work, a new class of bi-univalent functions \(I^{n+1}_{\Gamma_m,\lambda}(x,z)\) is defined by means of subordination. Upper bounds for some initial coefficients and the Fekete-Szegö functional of functions in the new class were obtained.
Keywords:
Analytic functions,subordination, bi-univalent functions,Höradam polynomial,Opoola differential operator