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

[41] A NOTE ON VALUE DISTRIBUTION OF DIFFERENCE POLYNOMIALS OF MEROMORPHIC FUNCTIONS
姚丽萍
陈宗煊
Acta Mathematica Scientia, 2014, 34 (06) : 1826 - 1834
[42] The Value Distribution of Some Difference Polynomials of Meromorphic Functions
Tu, Jin
Xu, Hong-Yan
Zhang, Hong
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (06) : 1031 - 1042
[43] Results on the deficiencies of some differential-difference polynomials of meromorphic functions
Zheng, Xiu-Min
Xu, Hong-Yan
OPEN MATHEMATICS, 2016, 14 : 100 - 108
[44] A NOTE ON VALUE DISTRIBUTION OF DIFFERENCE POLYNOMIALS OF MEROMORPHIC FUNCTIONS
Yao, Liping
Chen, Zongxuan
ACTA MATHEMATICA SCIENTIA, 2014, 34 (06) : 1826 - 1834
[45] AN INEQUALITY ON THE DIFFERENCE POLYNOMIALS OF MEROMORPHIC FUNCTIONS AND ITS APPLICATION
Wu, Zhaojun
JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (01): : 349 - 356
[46] On the value distribution and uniqueness of difference polynomials of meromorphic functions
Hong-Yan Xu
Advances in Difference Equations, 2013
[47] SHARING SETS OF Q-DIFFERENCE OF MEROMORPHIC FUNCTIONS
Qi, Xiaoguang
Yang, Lianzhong
MATHEMATICA SLOVACA, 2014, 64 (01) : 51 - 60
[48] Meromorphic functions sharing three values CM
Wang, Jian-Ping
Huang, Ling-Di
KODAI MATHEMATICAL JOURNAL, 2008, 31 (01) : 150 - 162
[49] Meromorphic functions sharing a set with applications to difference equations
Liu, Kai
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 359 (01) : 384 - 393
[50] Uniqueness of differential polynomials of meromorphic functions and small function sharing
Pal, Bipul
Lahiri, Indrajit
AFRIKA MATEMATIKA, 2019, 30 (1-2) : 247 - 256

← 1 2 3 4 5 →