Faber Polynomial Coefficient Bounds for m-Fold Symmetric Analytic and Bi-univalent Functions Involving q-Calculus

Abstract

In our present investigation, by applying q-calculus operator theory, we define some new subclasses of m-fold symmetric analytic and bi-univalent functions in the open unit disk U=z∈ℂ:z<1 and use the Faber polynomial expansion to find upper bounds of amk+1 and initial coefficient bounds for am+1 and a2m+1 as well as Fekete-Szego inequalities for the functions belonging to newly defined subclasses. Also, we highlight some new and known corollaries of our main results.