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

Author(s): Atinuke Ayanfe Amao1, Timothy Oloyede Opoola1
1Department of Mathematics, Faculty of Physical Sciences, University of Ilorin. PMB 1515, Ilorin, Nigeria.
Copyright © Atinuke Ayanfe Amao, 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.

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