On a Conjecture Concerning Some Nonlinear Difference Equations

被引：0

作者：

Peng, Chang-Wen ^{[1
]}

Chen, Zong-Xuan ^{[1
]}

机构：

[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2013年 / 36卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Difference equation; entire solution; hyper-order; MEROMORPHIC FUNCTIONS; UNIQUENESS; THEOREMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we mainly study non-existence of infinite order entire solutions of the nonlinear difference equation of the form f(z)(n) + q(z)f(z+1) = c sin bz, where n(>= 2) is an integer, q(z) is a non-constant polynomial, which concerns a conjecture raised by Yang and Laine.

引用

页码：221 / 227

页数：7

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