Normality and uniqueness property of meromorphic function in terms of some differential polynomials

Nguyen Viet Phuong

Normality and uniqueness property of meromorphic function in terms of some differential polynomials

Complex Variables 2019-12-17 v1

Authors: Nguyen Viet Phuong

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 $\alpha$ ignoring multiplicities, for any $f,g\in \mathcal{F}$ , where $Q$ is a polynomial and $\alpha$ is a small function. Our results do not need all of zeros of $Q$ have large order as other authors's results.

Keywords

meromorphic functions normality uniqueness differential polynomials shared values small function

Cite

@article{arxiv.1912.07485,
  title  = {Normality and uniqueness property of meromorphic function in terms of some differential polynomials},
  author = {Nguyen Viet Phuong},
  journal= {arXiv preprint arXiv:1912.07485},
  year   = {2019}
}

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