Uniqueness of meromorphic functions ans Q-differential polynomials sharing small functions

The paper concerns interesting problems related to the eld of Complex Analysis, in particular, Nevanlinna theory of meromorphic functions. We have studied certain uniqueness problem on differential polynomials of meromorphic functions sharing a small function. Outside, in this paper, we also consider the uniqueness of q-shift difference - differential polynomials of meromorphic functions sharing small function or a set in the complex plane. Our results generalize some previous results in this trend.