Unicity of Meromorphic Functions Concerning Higher Order Difference Operators

被引：0
|
作者：
He, Z. Y. [1 ]
Wang, G. [1 ]
Fang, M. L. [1 ]
机构：
[1] Hangzhou Dianzi Univ, Hangzhou, Peoples R China
来源：
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2024年 / 59卷 / 06期
关键词：
meromorphic functions; differences; infinite order; unicity; 2; SETS;
D O I：
10.3103/S1068362324700316
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the unicity of meromorphic functions concerning higher order difference operators and mainly prove the following result: Let m, n(>= 6) be positive integers, let eta be a nonzero complex number, and let f be a nonconstant meromorphic function in the complex plane. If f(n) and (Delta(m)(eta) f)(n) share 1 CM, f and Delta(m)(eta) f share infinity IM, then Delta(m)(eta) f equivalent to tf, where t(n) = 1, and if m = 1, then t not equal -1. This improves the results due to Chen and Chen [Bull. Malays. Math. Sci. Soc. 35 (2012)] and Deng, Liu and Yang [Turkish J. Math. 41 (2017)] for the case of infinite order and higher order difference operators.
引用
收藏
页码：397 / 408
页数：12
相关论文
共 50 条
  • [31] Unicity of meromorphic functions of class A
    Chen, Ten-Ging
    Chen, Keng-Yan
    TAIWANESE JOURNAL OF MATHEMATICS, 2008, 12 (03): : 821 - 827
  • [32] Uniqueness of Meromorphic Functions Concerning the Difference Polynomials
    Liu, Fanghong
    Yi, Hongxun
    KYUNGPOOK MATHEMATICAL JOURNAL, 2015, 55 (02): : 411 - 427
  • [33] Uniqueness theorem on meromorphic functions and their difference operators
    Dan Liu
    Bingmao Deng
    Mingliang Fang
    Advances in Difference Equations, 2018
  • [34] Meromorphic functions that share a polynomial with their difference operators
    Deng, Bingmao
    Liu, Dan
    Gu, Yongyi
    Fang, Mingliang
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [35] Uniqueness theorem on meromorphic functions and their difference operators
    Liu, Dan
    Deng, Bingmao
    Fang, Mingliang
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [36] Uniqueness problems on difference operators of meromorphic functions
    Chen, Chuangxin
    Zhang, Ranran
    Huang, Zhibo
    Lan, Shuangting
    SCIENCEASIA, 2020, 46 (03): : 361 - 367
  • [37] Meromorphic functions that share a polynomial with their difference operators
    Bingmao Deng
    Dan Liu
    Yongyi Gu
    Mingliang Fang
    Advances in Difference Equations, 2018
  • [38] Unicity of meromorphic functions related to their derivatives
    Han, Qi
    Hu, Pei-Chu
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2007, 14 (05) : 905 - 918
  • [39] Unicity on Entire Function Concerning Its Differential-Difference Operators
    XiaoHuang Huang
    Results in Mathematics, 2021, 76
  • [40] Unicity on Entire Function Concerning Its Differential-Difference Operators
    Huang, XiaoHuang
    RESULTS IN MATHEMATICS, 2021, 76 (03)
12345