Applications of the q-Wanas operator for a certain family of bi-univalent functions defined by subordination

Abstract

In this work, we introduce and investigate a certain family (δ,λ, , ,σ,n,q; ) of holomorphic and bi-univalent functions which are defined in the open unit disk associated with q-Wanas operator. The estimates on the initial Taylor-Maclaurin coefficients |b2| and |b3| for the certain family are obtained. Also, we solve the Fekete-Szegö type inequality for functions in this family.