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- Title
A Normal Criterion Concerning Omitted Holomorphic Function.
- Authors
Yang, Jin Hua; Yang, Qi; Pang, Xue Cheng
- Abstract
In this paper, we continue to discuss the normality concerning omitted holomorphic function and get the following result. Let F be a family of meromorphic functions on a domain D, k ≥ 4 be a positive integer, and let a(z) and b(z) be two holomorphic functions on D, where a(z) ≢ 0 and f(z) ≢ ∞ whenever a(z) = 0. If for any f ∈ F , f′(z) − a(z)fk(z) ≠ b(z), then F is normal on D.
- Subjects
MEROMORPHIC functions; HOLOMORPHIC functions; NEVANLINNA theory; INTEGERS
- Publication
Acta Mathematica Sinica, 2019, Vol 35, Issue 12, p1972
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-019-9058-1