Certain Subclasses of Bi-univalent Functions Associated with the Chebyshev Polynomials Based on Hohlov Operator

In this paper we introduce and investigate two new subclasses of the function class Sigma of bi-univalent functions in the open unit disk, which are associated with the Hohlov operator, and satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-MacLaurin coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar for functions in these new subclasses by using Chebyshev polynomials. Several new consequences of these results are also pointed out.