On the coefficient estimates for a subclass of m-fold symmetric bi-univalent functions

In this work, we introduce and investigate a subclass \(GΣ_mh,p(λ,γ)\) of analytic and bi-univalent functions when both \(f\) and \(f⁻¹\) are m-fold symmetric in the open unit disk \(U\). Moreover, we find upper bounds for the initial coefficients \(|aₘ₊₁|\) and \(|a₂ₘ₊₁|\) for functions belonging to this subclass \(GΣ_mh,p(λ,γ)\). The results presented in this paper would generalize and improve those that were given in several recent works.