The properties of the meromorphic solutions of some difference equations

被引：4
作者：
Huang, Zhi-Bo [1 ,2 ]
Chen, Zong-Xuan [1 ]
Li, Qian [3 ]
机构：
[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
[2] Univ Eastern Finland, Dept Math & Phys, Joensuu 80101, Finland
[3] South China Agr Univ, Dept Appl Math, Guangzhou 510640, Peoples R China
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2013年 / 58卷 / 07期
基金：
中国国家自然科学基金;
关键词：
growth; difference equations; deficiency; fixed points; POLYNOMIALS; ORDER; GROWTH; LEMMA; ZEROS;
D O I：
10.1080/17476933.2011.633302
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we treat complex difference equation of the form A(n)(z)f (z)+n+ center dot center dot center dot +A(1)(z)f (z) A(0)(z)f (z) = A(n+1)(z), where A(j)(z)(j=0,1,...,n,n+1) are meromorphic functions. We give answers to the growth estimates of the meromorphic solutions, and firstly consider the deficiency and fixed points of the meromorphic solutions of these equations. Some examples are listed to show that the result about the properties of fixed points is the best possible in a certain sense.
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页码：1023 / 1036
页数：14
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