SOME NORMAL CRITERIA FOR FAMILIES OF MEROMORPHIC FUNCTIONS

被引:1
|
作者
Xiao, Bing [1 ]
Xiong, Weiling [2 ]
Yuan, Wenjun [3 ]
机构
[1] Xinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Peoples R China
[2] Guangxi Univ Technol, Dept Informat & Comp Sci, Liuzhou 545006, Peoples R China
[3] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
来源
TAIWANESE JOURNAL OF MATHEMATICS | 2015年 / 19卷 / 03期
关键词
Holomorphic function; Normal family; Meromorphic function; Share value; SHARED VALUES; MULTIPLE ZEROS; PRINCIPLE;
D O I
10.11650/tjm.19.2015.4549
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the paper, we study the normality of families of meromorphic functions related a Hayman Conjecture. We consider whether a family meromorphic functions F is normal in D, if for each function f in F, f' + af(n) = b has at most one zero, where n is a positive integer, a and b not equal 0 are two finite complex numbers. Some examples show that the conditions in our results are best possible.
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页码:725 / 736
页数:12
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