Certain subclasses of bi-univalent functions associated with the Hohlov operator

Abstract

In this paper, we introduce and investigate two new subclasses of the function class of bi-univalent functions defined in the open unit disk, which are associated with the Hohlovoperator, that is, a familiar special case of the widely- (and extensively-) investigated Dziok-Srivastava linear operator. Furthermore, we find estimates on the Taylor-Maclaurin coefficients|a_2| and |a_3| for functions in these new subclasses. Several (known or new) consequences of theresults are also pointed out.