Entire Functions Sharing an Entire Function of Smaller Order with Their Difference Operators

被引：5

作者：

Li, Xiao Min ^{[1
,2
]}

Yi, Hong Xun ^{[3
]}

机构：

[1] Ocean Univ China, Dept Math, Qingdao 266100, Peoples R China

[2] Univ Eastern Finland, Dept Math & Phys, Joensuu 80101, Finland

[3] Shandong Univ, Dept Math, Jinan 250100, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2014年 / 30卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Entire functions; shared values; difference operators; uniqueness theorems; MEROMORPHIC FUNCTIONS; EQUATIONS; POLYNOMIALS; UNIQUENESS; SHIFTS;

D O I：

10.1007/s10114-014-2042-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a uniqueness question of entire functions sharing an entire function of smaller order with their difference operators, and deal with a question posed by Liu and Yang. The results in this paper extend the corresponding results obtained by Liu-Yang and by Liu-Laine respectively. Examples are provided to show that the results in this paper, in a sense, are the best possible.

引用

页码：481 / 498

页数：18

共 28 条

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