On certain classes of bi-univalent functions related to m-fold symmetry

Abstract

In our present investigation, we introduce two new subclasses SΣm(α, λ,μ) and SΣm(β, λ,μ) of analytic and m-fold symmetric bi-univalent functions in the open unit disk E. Results concerning coefficient estimates for the functions of these classes are derived. Many interesting new and already existing corollaries are also presented.