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

In our present investigation, we introduce two new subclasses \(S_{Σ ₘ}(α ,λ ,μ )\) and \(S_{Σ ₘ}(β ,λ ,μ )\) 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.