BOUNDS FOR INITIAL MACLAURIN COEFFICIENTS FOR A NEW SUBCLASSES OF ANALYTIC an‎d M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS

In the present paper, we introduce and study two new subclasses of the function class Σm consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disk U. We establish upper bounds for the initial coefficients |am+1| and |a2m+1| for functions in these subclasses. Certain special cases are also indicated.