Horadam polynomials and their applications to new family of bi-univalent functions with respect to symmetric conjugate points

Abstract

In the current paper, by making use of the Horadam polynomials, we introduce and investigate a new family of holomorphic and biuniva-lent functions with respect to symmetric conjugate points defined in the open unit disk D. We derive upper bounds for the second and third coefficients and solve Fekete-Szegö problem of functions belongs to this family.