The conjecture on unity of meromorphic functions concerning their differences

被引：13
|
作者：
Cui, Ning [1 ]
Chen, Zongxuan [1 ]
机构：
[1] South China Normal Univ, Sch Math Sci, Guangzhou, Guangdong, Peoples R China
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2016年 / 22卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Meromorphic functions; difference operators; uniqueness; shared values; shared sets; VALUES; EQUATIONS; SHIFTS;
D O I：
10.1080/10236198.2016.1201477
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We mainly study the uniqueness of meromorphic functions sharing three distinct values CM with their difference operators, and the related result confirms the conjecture of Chen and Yi. We also obtain a uniqueness theorem on entire functions sharing two sets CM with their difference operators.
引用
收藏
页码：1452 / 1471
页数：20
相关论文
共 50 条
  • [31] Some results on uniqueness of meromorphic functions concerning differential polynomials
    V. Husna
    The Journal of Analysis, 2021, 29 : 1191 - 1206
  • [32] Some results on uniqueness of meromorphic functions concerning differential polynomials
    Husna, V.
    JOURNAL OF ANALYSIS, 2021, 29 (04) : 1191 - 1206
  • [33] Uniqueness of meromorphic functions concerning fixed points
    Wang, Li-Qin
    Luo, Xu-Dan
    MATHEMATICA SLOVACA, 2012, 62 (01) : 29 - 38
  • [34] Uniqueness of Meromorphic Functions Concerning their Shifts and Derivatives
    Qi, Xiaoguang
    Yang, Lianzhong
    COMPUTATIONAL METHODS AND FUNCTION THEORY, 2020, 20 (01) : 159 - 178
  • [35] Uniqueness of Meromorphic Functions Concerning their Differential Polynomials
    Lue, Weiran
    Wang, Zanchun
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2, 2009, 1168 : 209 - +
  • [36] ON UNICITY OF MEROMORPHIC FUNCTIONS CONCERNING THE SHIFTS AND DERIVATIVES
    Meng, Chao
    Liu, Gang
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (04): : 1095 - 1112
  • [37] Uniqueness of Meromorphic Functions Concerning their Shifts and Derivatives
    Xiaoguang Qi
    Lianzhong Yang
    Computational Methods and Function Theory, 2020, 20 : 159 - 178
  • [38] NORMALITY OF MEROMORPHIC FUNCTIONS CONCERNING DIFFERENTIAL POLYNOMIALS
    Wang, Xiaoxiao
    Liu, Xiaojun
    Pang, Xuecheng
    HOUSTON JOURNAL OF MATHEMATICS, 2010, 36 (04): : 1173 - 1184
  • [39] Value distribution and shared sets of differences of meromorphic functions
    Zhang, Jilong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 367 (02) : 401 - 408
  • [40] UNIQUENESS OF MEROMORPHIC FUNCTIONS CONCERNING THE SHIFTS AND DERIVATIVES
    Meng, Chao
    Liu, Gang
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2019, 37 (1-2): : 133 - 148
12345