The Value Distribution of Some Difference Polynomials of Meromorphic Functions

被引:0
作者
Tu, Jin [1 ]
Xu, Hong-Yan [2 ]
Zhang, Hong [3 ]
机构
[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China
[2] Jingdezhen Ceram Inst, Dept Informat & Engn, Jingdezhen 333403, Jiangxi, Peoples R China
[3] Jiangxi Univ Finance & Econ, Sch Tourism & Urban Management, Jingdezhen 330032, Jiangxi, Peoples R China
基金
中国国家自然科学基金;
关键词
meromorphic function; difference polynomial; zeros;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The purpose of this paper is to investigate the value distribution of some difference polynomials G(1) (z) = Pi(m)(j=1) f (z + c(j)) - af (z)(n), G(2)(z) = f (z)(n) Pi(m)(j=1) f (z + c(j)) and G(3)(z) = f(z)(n) Pi(m)(j=1) (f(z + cj) - f (z)), where f(z) is a meromorphic function and a is an element of C \ {0} and c(j), j = 1,2, ... , m are complex constants.
引用
收藏
页码:1031 / 1042
页数:12
相关论文
共 50 条
  • [21] Derivatives of Meromorphic Functions Sharing Polynomials with Their Difference Operators
    Wang, M. -H.
    Chen, J. -F.
    JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2023, 58 (06): : 444 - 458
  • [22] Meromorphic Functions Sharing Three Polynomials With Their Difference Operators
    Zhen, L.
    JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2019, 54 (05): : 296 - 301
  • [23] Two results on the value distribution of meromorphic functions
    Yang, Degui
    He, Zhiying
    Liu, Dan
    OPEN MATHEMATICS, 2024, 22 (01):
  • [24] Uniqueness of Difference-Differential Polynomials of Meromorphic Functions
    Dyavanal, R. S.
    Mathai, M. M.
    UKRAINIAN MATHEMATICAL JOURNAL, 2019, 71 (07) : 1032 - 1042
  • [25] ON THE VALUE DISTRIBUTION OF DIFFERENCE POLYNOMIALS
    Tran Van Tan
    Nguyen Van Thin
    MATHEMATICAL REPORTS, 2018, 20 (02): : 161 - 170
  • [26] Value distribution of difference polynomials
    Laine, Ilpo
    Yang, Chung-Chun
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2007, 83 (08) : 148 - 151
  • [28] Value distribution of meromorphic functions and their differences
    Zhang, Ranran
    Chen, Zongxuan
    TURKISH JOURNAL OF MATHEMATICS, 2012, 36 (03) : 395 - 406
  • [29] Value Distribution of Differences of Meromorphic Functions
    Zheng, Xiumin
    Chen, Zongxuan
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2013, 37 (01) : 139 - 151
  • [30] VALUE DISTRIBUTION OF DIFFERENCES OF MEROMORPHIC FUNCTIONS
    Liu, Kai
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2011, 41 (05) : 1567 - 1584