NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS WITH MULTIPLE POLES

被引：0
|
作者：
Li, Yuntong [1 ]
机构：
[1] Shaanxi Railway Inst, Dept Basic Courses, Weinan 714000, Shaanxi, Peoples R China
来源：
TAMKANG JOURNAL OF MATHEMATICS | 2014年 / 45卷 / 04期
关键词：
Meromorphic functions; normal family; multiplicity;
D O I：
10.5556/j.tkjm.45.2014.1376
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let J be a family of meromorphic functions defined in a domain D and a, b be two constants such that a not equal 0, infinity and b not equal infinity. If for each f is an element of J, all poles of f (z) are of multiplicity at least 3 in D, and f '(z) + af(2) (z) b has at most 1 zero in D, ignoring multiplicity, then F is normal in D.
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页码：357 / 366
页数：10
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