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.

引用

页码：235 / 241

页数：7

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