Subordination Properties of Bi-Univalent Functions Involving Horadam Polynomials

Abstract

In this research, we investigate a family of q-extensions defined on an open unit disk, which is based on bi-univalent functions associated with differential subordination. Next, we define certain classes of bi-univalent functions using generalized Horadam polynomials. For the functions in the recently defined classes, estimates of a few coefficients are also given. Furthermore, we obtain the Fekte–Szegö inequality for functions in the specified classes and give good instances of the described new sets utilizing the Nephroid function. Further findings are also investigated.