Coefficient Estimates For Special Subclasses Of K-Fold Symmetric Bi-Univalent Functions

Abstract

In the present paper, we consider two new subclasses (formula presented)and (formula presented) consisting of analytic and k-fold symmetric bi-univalent functions defined in the open unit disc(formula presented)For functions belonging to the two classes introduced here, we derive their normalized forms. Furthermore, we find estimates of the initial coefficients |ak+1| and |a2k+1| for these functions. Several related classes are also considered and connections to previously known results are made.