A normal criterion concerning zero numbers

被引：0
|
作者：
Sun, Chengxiong [1 ]
机构：
[1] Sch Math, Inst Math, Kunming, Yunnan, Peoples R China
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 01期
关键词：
Meromorphic function; Normal family; Shared value; NORMAL-FAMILIES; MEROMORPHIC FUNCTIONS;
D O I：
10.1007/s12215-021-00636-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let n >= 4 be a positive integer, F be a family of meromorphic functions in D and let a(z)(not equivalent to 0), b(z) be two holomorphic functions in D. If, for any function f is an element of F, (1) f (z) not equal infinity when a(z) = 0, (2) f'(z) - a(z)f(n)(z) - b(z) has at most one zero in D, then F is normal in D.
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页码：515 / 523
页数：9
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