Abstract
In this paper we define a differential linear operator, applying it on the subclasses HΣ∗B (α, n, λ) of meromorphic starlike bi-univalent functions of order α, and HΣ˜ ∗B (α, n, λ) of meromorphic strongly starlike bi-univalent functions of order α, also we find estimates on the coefficients |bo| and |b1| for functions in these subclasses.