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.

引用

页码：357 / 366

页数：10

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