Coefficient Estimates for New Subclasses of m-Fold Symmetric Bi-univalent Functions

Abstract

In this paper, we introduce and investigate two subclasses A_m (lambda; alpha) and A_m (lambda; beta) of Sigma_m consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disc U. For functions in each of the subclasses introduced in this paper, we obtain the coefficient bounds for |a_m+1| and |a_2m+1|.