• 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.
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