SOME PROPERTIES ABOUT COMPLEX DIFFERENCE EQUATIONS OF MALMQUIST TYPE

被引:0
|
作者
Qi, Jianming [1 ]
机构
[1] Shanghai Dianji Univ, Sch Business, Shanghai 200240, Peoples R China
来源
DIFFERENTIAL EQUATIONS & APPLICATIONS | 2019年 / 11卷 / 03期
关键词
Meromorphic functions; Nevanlinna theory; Malmquist equation; difference equation; MEROMORPHIC SOLUTIONS; PAINLEVE PROPERTY; NEVANLINNA THEORY; ZEROS;
D O I
10.7153/dea-2019-11-20
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This article presents versions of the Malmquist type equation. We study the growth of transcendental meromorphic solutions of some complex (qz+c) difference equations and find lower bounds for Nevanlinna lower order for meromorphic solutions of such equations. We also obtain a (qz+c) difference version of Tumura-Clunie theorem, which improves the results of Zheng and Chen[25].
引用
收藏
页码:427 / 437
页数:11
相关论文
共 50 条
  • [1] Complex Difference Equations of Malmquist Type
    Janne Heittokangas
    Risto Korhonen
    Ilpo Laine
    Jarkko Rieppo
    Kazuya Tohge
    Computational Methods and Function Theory, 2001, 1 (1) : 27 - 39
  • [2] ON SOME SPECIAL DIFFERENCE EQUATIONS OF MALMQUIST TYPE
    Zhang, Jie
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (01) : 51 - 61
  • [3] ON MALMQUIST TYPE THEOREM OF COMPLEX DIFFERENCE EQUATIONS
    Zhang, Jian-Jun
    Liao, Liang-Wen
    HOUSTON JOURNAL OF MATHEMATICS, 2013, 39 (03): : 969 - 981
  • [4] Malmquist-type theorems on some complex differential-difference equations
    Xu, Hong Yan
    Li, Hong
    Yu, Meiying
    OPEN MATHEMATICS, 2022, 20 (01): : 809 - 819
  • [5] On Complex Differential-Difference Equations of Malmquist Type
    Zhang, Jianjun
    JOURNAL OF MATHEMATICS, 2022, 2022
  • [6] On Malmquist type theorem of systems of complex difference equations
    Zhang, Jianjun
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [7] On Malmquist type theorem of systems of complex difference equations
    Jianjun Zhang
    Advances in Difference Equations, 2015
  • [8] GROWTH OF MEROMORPHIC SOLUTIONS FOR COMPLEX DIFFERENCE EQUATIONS OF MALMQUIST TYPE
    Zhang, Y. Y.
    Gao, Z. S.
    Zhang, J. L.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2016, 42 (06): : 1497 - 1505
  • [9] MEROMORPHIC SOLUTIONS TO COMPLEX DIFFERENCE AND q-DIFFERENCE EQUATIONS OF MALMQUIST TYPE
    Zhang, Jie
    Zhang, Jianjun
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
  • [10] ON PROPERTIES OF MEROMORPHIC SOLUTIONS FOR COMPLEX DIFFERENCE EQUATION OF MALMQUIST TYPE
    黄志波
    陈宗煊
    李倩
    Acta Mathematica Scientia, 2013, 33 (04) : 1141 - 1152