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
相关论文
共 50 条
  • [31] Growth of the solutions of some q-difference differential equations
    Hong-Yan Xu
    Lian-Zhong Yang
    Hua Wang
    Advances in Difference Equations, 2015
  • [32] Growth of the solutions of some q-difference differential equations
    Xu, Hong-Yan
    Yang, Lian-Zhong
    Wang, Hua
    ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 12
  • [33] ON PROPERTIES OF MEROMORPHIC SOLUTIONS FOR SOME DIFFERENCE EQUATIONS
    Chen, Zong-Xuan
    KODAI MATHEMATICAL JOURNAL, 2011, 34 (02) : 244 - 256
  • [34] The properties of the meromorphic solutions of some difference equations
    Huang, Zhi-Bo
    Chen, Zong-Xuan
    Li, Qian
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2013, 58 (07) : 1023 - 1036
  • [35] Existence of zero-order meromorphic solutions of certain q-difference equations
    Du, Yunfei
    Gao, Zongsheng
    Zhang, Jilong
    Zhao, Ming
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [36] Existence of zero-order meromorphic solutions of certain q-difference equations
    Yunfei Du
    Zongsheng Gao
    Jilong Zhang
    Ming Zhao
    Journal of Inequalities and Applications, 2018
  • [37] On existence of meromorphic solutions for nonlinear q-difference equation
    Peng, Changwen
    Huang, Huawei
    Tao, Lei
    SCIENCEASIA, 2023, 49 (03): : 369 - 376
  • [38] Solutions of complex difference and q-difference equations
    Yue Wang
    Advances in Difference Equations, 2016
  • [39] Solutions of complex difference and q-difference equations
    Wang, Yue
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [40] ON PROPERTIES OF q-DIFFERENCE EQUATIONS
    Zheng Xiumin
    Chen Zongxuan
    ACTA MATHEMATICA SCIENTIA, 2012, 32 (02) : 724 - 734
12345