In the present paper, we introduce and investigate new subclasses of the function class of bi-univalent functions de ned on the open unit disk U, which are associated with the multiplier operator, that is, a generalization of many familiar linear operators . Furthermore, we nd estimates on the coefficients ja2j and ja3j for functions in these new subclasses. Keywords: Bi-univalent function, Multiplier operator Salagean operator.
