Applications of horadam polynomials to general classes of bi-univalent functions involving the q-derivative operator

Abstract

In this present investigation, by using the Horadam polynomials, we aim to build a bridge between the theory of geometric functions and that of special functions, which are usually considered very different fields. Thus, we introduce some new classes of bi-univalent functions defined by combining the q-derivative operator and the Horadam polynomials. Afterwards, we derive coefficient inequalities and consider the classical Fekete-Szegö problem.