Uniqueness theorems on meromorphic functions and their difference polynomials

被引：0
|
作者：
Liu, Huifang [1 ]
Mao, Zhiqiang [2 ]
机构：
[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang, Jiangxi, Peoples R China
[2] Jiangxi Sci & Technol Normal Univ, Sch Math & Comp, Nanchang, Jiangxi, Peoples R China
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2021年 / 66卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Meromorphic function; small function; difference operator; uniqueness; FINITE VALUES;
D O I：
10.1080/17476933.2020.1797701
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let f be a nonconstant meromorphic function of finite order, and L(z, f) be a linear difference polynomial in f with small meromorphic coefficients. Some uniqueness theorems related to f sharing three values with L(z, f) are obtained. We also prove that f is identical with its difference operator Delta(n)(eta) f, if they share three values CM. Some examples are given to show our results are best possible.
引用
收藏
页码：1959 / 1973
页数：15
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