Certain Subclasses of Bi-Univalent Functions Governed By Generalized Bivariate Fibonacci Polynomials

Abstract

We study certain subclasses of bi-univalent and regular functions in the open unit disk that are governed by generalized bivariate Fibonacci polynomials. For these subclasses of functions, we derive initial coefficient bounds. Additionally, the Fekete-Szegö problem is handled for the elements of these subclasses. We also discuss relevant connections to previous findings and present some new results.