Gegenbauer Polynomials and Inequality for Analytic Bi-Univalent Functions

Abstract

This paper introduces a new subclass of analytic bi-univalent functions related to the Gegenbauer polynomial. The coefficient bounds for the second and third terms of the functions belonging to this subclass are studied. The Fekete-Szego problem is also obtained. Furthermore, several new results are obtained by specialising the parameters involved in our main results. The methods used are the convolution concept and rigorous proof techniques.