On initial coefficient inequalities for certain new subclasses of bi-univalent functions

http://dx.doi.org/10.1016/j.joems.2017.04.001

Abstract

In the present paper, we introduce two interesting subclasses of the class of bi-univalent functions defined on the open unit disk U and obtain improved estimates on the initial coefficients |a2|, |a3| and |a4| for the functions in these subclasses.