ON COEFFICIENT ESTIMATES FOR CERTAIN SUBCLASSES OF BI-UNIVALENT FUNCTIONS

ON COEFFICIENT ESTIMATES FOR CERTAIN SUBCLASSES OF BI-UNIVALENT FUNCTIONS

S. A. Shah, K. I. Noor, M. A. Soomro

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Abstract

We introduce certain subclasses of bi-univalent functions related to the gen- eralized Janowski functions and estimate the general coe cient bound for the newly de ned classes. Also, we deduce certain new results and the improvement of known results as special cases of our investigation.

Keywords

Analytic function, bi-univalent functions, bounded variation, Faber polyno- mial, coe cient estimates.