Uniqueness of meromorphic functions sharing sets with its linear difference polynomials

被引：3
|
作者：
Haldar, Goutam [1 ]
机构：
[1] Malda Coll, Dept Math, Malda 732101, W Bengal, India
来源：
JOURNAL OF ANALYSIS | 2023年 / 31卷 / 02期
关键词：
Meromorphic function; Shift operator; Linear difference operator; weighted sharing; SUFFICIENT CONDITIONS; PERIODICITY; UNICITY;
D O I：
10.1007/s41478-022-00495-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the uniqueness property of meromorphic functions that share two sets with finite weight with its linear difference polynomials. Using the polynomial introduced in Banerjee and Ahamed (FILOMAT 33(18) 6055-6072, 2019), we have improved the result of Li and Chen (Abstr Appl Anal 2014(Article ID 894968):7, 2014) in the sense of reducing cardinalities of the main set S and the associated weights. Some examples have been exhibited to validate our certain claims in the main result.
引用
收藏
页码：1011 / 1027
页数：17
相关论文
共 50 条
  • [1] Uniqueness of meromorphic functions sharing sets with its linear difference polynomials
    Goutam Haldar
    The Journal of Analysis, 2023, 31 : 1011 - 1027
  • [2] Unicity of Meromorphic Functions Sharing Sets with Their Linear Difference Polynomials
    Li, Sheng
    Chen, BaoQin
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [3] Uniqueness on linear difference polynomials of meromorphic functions
    Zhang, Ran Ran
    Chen, Chuang Xin
    Huang, Zhi Bo
    AIMS MATHEMATICS, 2021, 6 (04): : 3874 - 3888
  • [4] On the uniqueness of meromorphic functions and its difference operator sharing values or sets
    Banerjee A.
    Bhattacharyya S.
    Rendiconti del Circolo Matematico di Palermo Series 2, 2018, 67 (1): : 75 - 85
  • [5] UNIQUENESS OF MEROMORPHIC FUNCTIONS AND Q - DIFFERENCE POLYNOMIALS SHARING SMALL FUNCTIONS
    Thin, N. V.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (03): : 629 - 647
  • [6] Meromorphic functions sharing small functions with their linear difference polynomials
    Sheng Li
    BaoQin Chen
    Advances in Difference Equations, 2013
  • [7] Meromorphic functions sharing small functions with their linear difference polynomials
    Li, Sheng
    Chen, BaoQin
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [8] UNIQUENESS OF DIFFERENCE POLYNOMIALS OF MEROMORPHIC FUNCTIONS
    Liu, Yong
    Qi, Xiaoguang
    ACTA MATHEMATICA SCIENTIA, 2014, 34 (02) : 444 - 452
  • [9] UNIQUENESS OF DIFFERENCE POLYNOMIALS OF MEROMORPHIC FUNCTIONS
    刘永
    祁晓光
    Acta Mathematica Scientia, 2014, 34 (02) : 444 - 452
  • [10] UNIQUENESS OF MEROMORPHIC FUNCTIONS SHARING SETS
    Bhoosnurmath, Subhas S.
    Dyavanal, Renukadevi S.
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 3 (03): : 200 - 208
12345