Key points are not available for this paper at this time.
In this paper, a normality criterion concerning a sequence of meromorphic functions and their differential polynomials is obtained. Precisely, we have proved: Let \fⱼ\ be a sequence of meromorphic functions in the open unit disk D such that, for each j, fⱼ has poles of multiplicity at least m, ~m. Let \hⱼ\ be a sequence of holomorphic functions in D such that hⱼ h locally uniformly in D, where h is holomorphic in D and h 0. Let Qfⱼ be a differential polynomial of fⱼ having degree λQ and weight μQ. If, for each j, fⱼ (z) 0 and Qfⱼ-hⱼ has at most μQ + λQ (m-1) -1 zeros, ignoring multiplicities, in D, then \fⱼ\ is normal in D.
Nikhil Bharti (Tue,) studied this question.