Maclaurin Coefficient Estimates for a New Subclasses of m-Fold Symmetric Bi-Univalent Functions

Abstract

In this paper, we obtain upper bounds for the first two Taylor-Maclaurin and for two new families Υ_(Σ_m ) (η,γ;α) and Υ_(Σ_m)^* (η,γ;β) of holomorphic and m-fold symmetric bi-univalent functions defined in the open unit disk U. Further, we point out several certain special cases for our results.