Some properties of meromorphic solutions of q-difference equations

被引：38

作者：

Zheng, Xiu-Min ^{[1
,2
]}

Chen, Zong-Xuan ^{[1
]}

机构：

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

[2] Jiangxi Normal Univ, Inst Math & Informat Sci, Nanchang 330022, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 361卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Complex q-difference equation; Meromorphic solution; Growth; PAINLEVE PROPERTY; NEVANLINNA THEORY; OPERATOR; ZEROS;

D O I：

10.1016/j.jmaa.2009.07.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the growth of transcendental meromorphic solutions of some complex q-difference equations and find lower bounds for Nevanlinna lower order for meromorphic solutions of such equations. We also obtain a q-difference version of Tumura-Clunie theorem. (c) 2009 Elsevier Inc. All rights reserved.

引用

页码：472 / 480

页数：9

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