Entire functions sharing some values with their difference operators

被引:0
|
作者
ZHANG Jie [1 ]
LIAO LiangWen [2 ]
机构
[1] College of Science,China University of Mining and Technology
[2] Department of Mathematics,Nanjing University
基金
中央高校基本科研业务费专项资金资助; 中国国家自然科学基金;
关键词
uniqueness; entire function; difference equation; small function;
D O I
暂无
中图分类号
O174.52 [整数函数论、亚纯函数论(半纯函数论)];
学科分类号
070104 ;
摘要
We investigate a uniqueness topic of entire functions with finite order sharing some values with their difference operators and obtain one result that if△f(≠0)and entire function f share a,b CM(counting multiplicities),then△f≡f.This result partially confirms a conjecture due to Chen and Yi(2013).
引用
收藏
页码:2143 / 2152
页数:10
相关论文
共 50 条
  • [21] A note on entire functions sharing a finite set with their difference operators
    Jianming Qi
    Yanfeng Wang
    Yongyi Gu
    Advances in Difference Equations, 2019
  • [22] Meromorphic Functions Sharing four Values with their Difference Operators
    Li, Xiao-Min
    Liu, Yan
    Yi, Hong-Xun
    COMPUTATIONAL METHODS AND FUNCTION THEORY, 2021, 21 (02) : 317 - 341
  • [23] Meromorphic Functions Sharing Three Values with their Difference Operators
    Feng Lü
    Weiran Lü
    Computational Methods and Function Theory, 2017, 17 : 395 - 403
  • [24] Meromorphic Functions Sharing Three Values with their Difference Operators
    Lu, Feng
    Lu, Weiran
    COMPUTATIONAL METHODS AND FUNCTION THEORY, 2017, 17 (03) : 395 - 403
  • [25] Meromorphic Functions Sharing four Values with their Difference Operators
    Xiao-Min Li
    Yan Liu
    Hong-Xun Yi
    Computational Methods and Function Theory, 2021, 21 : 317 - 341
  • [26] ENTIRE FUNCTIONS SHARING ZERO CM WITH THEIR HIGH ORDER DIFFERENCE OPERATORS
    Zhang, Jie
    Zhang, Jianjun
    Liao, Liangwen
    TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (03): : 701 - 709
  • [27] RESULTS ON MEROMORPHIC FUNCTIONS SHARING THREE VALUES WITH THEIR DIFFERENCE OPERATORS
    Li, Xiao-Min
    Yi, Hong-Xun
    Kang, Cong-Yun
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (05) : 1401 - 1422
  • [28] MEROMORPHIC FUNCTIONS SHARING FOUR VALUES WITH THEIR DIFFERENCE OPERATORS OR SHIFTS
    Li, Xiao-Min
    Yi, Hong-Xun
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (04) : 1213 - 1235
  • [29] ENTIRE FUNCTIONS SHARING ONE SMALL FUNCTION CM WITH THEIR SHIFTS AND DIFFERENCE OPERATORS
    崔宁
    陈宗煊
    Acta Mathematica Scientia(English Series), 2017, 37 (03) : 786 - 798
  • [30] ENTIRE FUNCTIONS SHARING ONE SMALL FUNCTION CM WITH THEIR SHIFTS AND DIFFERENCE OPERATORS
    崔宁
    陈宗煊
    Acta Mathematica Scientia, 2017, (03) : 786 - 798