On some subclasses of M fold symmetric bi-univalent functions

Abstract

In this work, we introduce two new subclasses S-Sigma m (alpha, lambda) and S-Sigma m (beta, lambda) of Sigma(m) consisting of analytic and m -fold symmetric bi-univalent functions in the open unit disc U. Furthermore, for functions in each of the subclasses introduced in this paper, we obtain the coefficient bounds for vertical bar a(m)+1 vertical bar and alpha(2m)+1 vertical bar.