In this paper, we introduce a new comprehensive subclass ?B(?,?,?) of meromorphic bi-univalent functions in the open unit disk U. We also find upper bounds for initial Taylor-Maclaurin coefficients |b0|, |b1| and |b2| subclass. Moreover, obtain estimates general |bn|(n?1) by making use Faber polynomial expansion method. The results presented paper would generalize improve several recent works o...