In this paper, we introduce and investigate two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disk, which are associated with the Hohlov operator, 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 |a2| and |a3| for function...