Uniqueness of meromorphic functions sharing two finite sets

被引：12

作者：

Chen, Jun-Fan ^{[1
]}

机构：

[1] Fujian Normal Univ, Dept Math, Fuzhou 350117, Fujian, Peoples R China

来源：

OPEN MATHEMATICS | 2017年 / 15卷

基金：

中国国家自然科学基金;

关键词：

Meromorphic function; Shared set; Order; Uniqueness;

D O I：

10.1515/math-2017-0102

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove uniqueness theorems of meromorphic functions, which show how two meromorphic functions are uniquely determined by their two finite shared sets. This answers a question posed by Gross. Moreover, some examples are provided to demonstrate that all the conditions are necessary.

引用

页码：1244 / 1250

页数：7

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