Meromorphic Functions Sharing Three Polynomials With Their Difference Operators

被引：2

作者：

Zhen, L. ^{[1
]}

机构：

[1] China Univ Petr, Qingdao, Shandong, Peoples R China

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2019年 / 54卷 / 05期

关键词：

Uniqueness problem; meromorphic function; difference operator; share polynomial; VALUES;

D O I：

10.3103/S1068362319050066

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we focus on a conjecture concerning uniqueness problem of meromorphic functions sharing three distinct polynomials with their difference operators, which is mentioned in Chen and Yi (Result Math v. 63, pp. 557-565, 2013), and prove that it is true for meromorphic functions of finite order. Also, a result of Zhang and Liao, obtained for entire functions (Sci China Math v. 57, pp. 2143-2152, 2014), we generalize to the case of meromorphic functions.

引用

页码：296 / 301

页数：6

共 50 条

[21] Uniqueness of meromorphic functions concerning their differential-difference operators
Wang, Miao-Hong
Chen, Jun-Fan
JOURNAL OF ANALYSIS, 2024, 32 (5) : 2857 - 2878
[22] UNIQUENESS OF MEROMORPHIC FUNCTIONS WITH THEIR DIFFERENCE OPERATORS
Qi, Xiaoguang
Liu, Yong
Yang, Lianzhong
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (04) : 784 - 790
[23] Meromorphic Functions Sharing Three Values with Their Linear Differential Polynomials in an Angular Domain
J.-F. Chen
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2019, 54 : 157 - 162
[24] Uniqueness of meromorphic functions concerning their difference operators and derivatives
Wei, Dong-Mei
Huang, Zhi-Gang
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[25] Meromorphic Functions Sharing Three Values with Their Linear Differential Polynomials in an Angular Domain
Chen, J. -F.
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2019, 54 (03): : 157 - 162
[26] Uniqueness on linear difference polynomials of meromorphic functions
Zhang, Ran Ran
Chen, Chuang Xin
Huang, Zhi Bo
AIMS MATHEMATICS, 2021, 6 (04): : 3874 - 3888
[27] Uniqueness of meromorphic functions concerning their difference operators and derivatives
Dong-Mei Wei
Zhi-Gang Huang
Advances in Difference Equations, 2020
[28] VALUE DISTRIBUTION OF DIFFERENCE POLYNOMIALS OF MEROMORPHIC FUNCTIONS
Liu, Yong
Qi, Xiaoguang
Yi, Hongxun
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[29] UNIQUENESS OF q-SHIFT DIFFERENCE POLYNOMIALS OF MEROMORPHIC FUNCTIONS SHARING A SMALL FUNCTION
Dyavanal, Renukadevi S.
Desai, Rajalaxmi, V
MATHEMATICA BOHEMICA, 2020, 145 (03): : 241 - 253
[30] Uniqueness of Higher Order Differential-Difference Polynomials of Meromorphic Functions with Weighted Sharing
Dyavanal, R. S.
Muttagi, J. B.
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2020, 44 (05) : 657 - 672

← 1 2 3 4 5 →