|Table of Contents|

A Note on the Normal Family of Meromorphic Functions(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2020年04期
Page:
6-8
Research Field:
·数学·
Publishing date:

Info

Title:
A Note on the Normal Family of Meromorphic Functions
Author(s):
Hu Yaqian; Xu Yan
School of Mathematical Sciences,Nanjing Normal University,Nanjing 210023,China
Keywords:
Hayman’s conjecture; meromorphic function; normal family
PACS:
O174.52
DOI:
10.3969/j.issn.1001-4616.2020.04.002
Abstract:
In this paper,we discuss the normality concerning omitted meromorphic function and get the following results. Let F be a family of meromorphic functions on a domain D,k≥4 be a positive integer,and let a(z)(0,∞)be a meromorphic function on D which satisfies f(z)≠∞ whenever a(z)=0 and satisfies f(z)≠0 whenever a(z)=∞. If for any f∈F,f’(z)-a(z)fk(z)≠0,then F is normal on D.

References:

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Last Update: 2020-11-15