On a generalized subclass of analytic and bi-univalent functions

Abstract

In the present paper, we introduce and investigate a new generalized subclass BSh,p(?, µ) of bi-univalent analytic functions in the unit disk U. For functions belonging to the class BSh,p(?, µ), we obtain estimates on the first three Taylor-Maclaurin coefficients |a2|, |a3| and |a4| of f(z), which generalizes some existing results.