Growth and zeros of meromorphic solution of some linear difference equations

被引：60
|
作者：
Chen, Zong-Xuan [1 ]
机构：
[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 373卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Difference equation; Meromorphic solution; Growth; Zero; POLYNOMIALS;
D O I：
10.1016/j.jmaa.2010.06.049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study growth and zeros of linear difference equations P(n)(z)f(z + n) + ... + P(1)(z)f(z + 1) + P(0)(z)f(z) = F(z) where F(z), P(n)(z) ..... P(0)(z) are polynomials with FP(n) p(0) not equivalent to 0 and satisfy deg(P(n) + ... + P(o)) = max{deg p(j): j = 0, ..., n} >= 1. The corresponding homogeneous equation of the above equation is also investigated. (c) 2010 Elsevier Inc. All rights reserved.
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页码：235 / 241
页数：7
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