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- Title
Normality of meromorphic functions and their differential polynomials.
- Authors
Jia Xie; Yongyi Gu; Wenjun Yuan
- Abstract
In this paper, we study the normality of meromorphic families and prove the following theorem: Let k be a positive integer, P(z) be a non-constant polynomial satisfying P(0) = 0, h(6 0) be a holomorphic function in a domain D, H(f, f 0, . . ., f (k)) be a differential polynomial with jH < k +1, and F be a meromorphic family in D. If, for each f 2 F, f 6= 0 and P(f (k))+ H(f, f 0, . . ., f (k)) 6= h for z 2 D, then F is a normal family in D.
- Subjects
MEROMORPHIC functions; POLYNOMIALS; HOLOMORPHIC functions
- Publication
ScienceAsia, 2021, Vol 47, Issue 5, p645
- ISSN
1513-1874
- Publication type
Article
- DOI
10.2306/scienceasia1513-1874.2021.070