Abstract
In this paper, we will consider normality and uniqueness property of a family $\mathcal {F}$ of meromorphic functions when [Q(f)](k) and [Q(g)](k) share α ignoring multiplicities, for any $f,g\in \mathcal {F}$ , where Q is a polynomial and α is a small function. Our results do not need all of zeros of Q have large order as other authors’ results.
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