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
  • [11] Meromorphic solutions of linear q-difference equations
    Lastra, Alberto
    Remy, Pascal
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 532 (01)
  • [12] On the meromorphic solutions of generalized q-difference equations
    Tu, Hongqiang
    Gu, Yongyi
    SCIENCEASIA, 2020, 46 (05): : 626 - 633
  • [13] Properties on Solutions of Some q-Difference Equations
    Chen, Bao Qin
    Chen, Zong Xuan
    Li, Sheng
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (10) : 1877 - 1886
  • [14] Nevanlinna theory for the q-difference operator and meromorphic solutions of q-difference equations
    Barnett, D. C.
    Halburd, R. G.
    Morgan, W.
    Korhonen, R. J.
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2007, 137 : 457 - 474
  • [15] Properties on solutions of some q-difference equations
    Bao Qin Chen
    Zong Xuan Chen
    Sheng Li
    Acta Mathematica Sinica, English Series, 2010, 26 : 1877 - 1886
  • [16] Properties on Solutions of Some q-Difference Equations
    Bao Qin CHEN Zong Xuan CHEN~(1)) Sheng LI School of Mathematical Sciences
    Acta Mathematica Sinica(English Series), 2010, 26 (10) : 1877 - 1886
  • [17] Existence and growth of meromorphic solutions of some nonlinear q-difference equations
    Zheng, Xiu-Min
    Tu, Jin
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [18] Existence and growth of meromorphic solutions of some nonlinear q-difference equations
    Xiu-Min Zheng
    Jin Tu
    Advances in Difference Equations, 2013
  • [19] On the Growth Order of Meromorphic Solutions of Some Ultrametric q-Difference Equations
    Boughaba, Houda
    Zerzaihi, Tahar
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2023, 44 (04) : 1280 - 1288
  • [20] Meromorphic solutions of some non-linear q-difference equations
    Dyavanal, Renukadevi S.
    Muttagi, Jyoti B.
    Shilpa, N.
    TBILISI MATHEMATICAL JOURNAL, 2020, 13 (03) : 53 - 62
12345