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In this paper we introduce and investigate two new subclasses of the functionclass $\Sigma$ of bi-univalent functions of complex order defined in the openunit disk, which are associated with the Hohlov operator, and satisfyingsubordinate conditions. Furthermore, we find estimates on the Taylor-MacLaurincoefficients $|a_2|$ and $|a_3|$ for functions in these new subclasses. Severalknown or new consequences of these results are also pointed out.

Estimate for Initial MacLaurin Coefficients of Certain Subclasses of Bi-univalent Functions of Complex Order Associated with the Hohlov Operator