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
收藏
页码：472 / 480
页数：9
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