• NEW SUB-CLASSES OF BI-UNIVALENT FUNCTIONS DEFINED USING THE CONVOLUTION STRUCTURE

Abstract

In the present paper, we introduce and study a new subclass of analytic bi-univalent functions defined in the open unit disc using convolution. We determine estimates of the general Taylor-Maclaurin coefficients of the functions in this class subject to certain gap series as well as providing bounds for coefficients |a₂| and |a₃|. For this purpose, we use the Faber polynomial approach. Also connections to earlier well-known results are briefly indicated.