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

2019/12/16 by Nguyen Viet Phuong, Phuong, Nguyen Viet
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1912.07485

openalex publication_date 2019/12/16 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

In this paper, we will consider normality and uniqueness property of a family\n\F of meromorphic functions when [Q(f)]^(k) and [Q(g)]^(k)\nshare \α ignoring multiplicities, for any f,g\∈ \F, where Q\nis a polynomial and \α is a small function. Our results do not need all\nof zeros of Q have large order as other authors's results.\n

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