Estimates for a Generalized Class of Analytic and Bi-univalent Functions Involving Two q-Operators

Abstract

By making use of $q$-derivative and $q$-integral operators, we define a class of analytic and bi-univalent functions in the unit disk $|z|<1$. Subsequently, we investigate some properties such as some early coefficient estimates and then obtain the Fekete-Szeg\"o inequality for both real and complex parameters. Further, some interesting corollaries are discussed.