Meromorphic functions sharing four small functions

被引：0

作者：

Tran Van Tan ^{[1
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, Hanoi, Vietnam

来源：

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG | 2010年 / 80卷 / 01期

关键词：

Meromorphic function; Nevanlinna theory; Small function; Truncated multiplicities; UNIQUENESS PROBLEM; THEOREM; UNICITY;

D O I：

10.1007/s12188-009-0027-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well known that if two nonconstant meromorphic functions f and g on the complex plane a", have the same inverse images counted with multiplicities for four distinct values, then g is a Mobius transformation of f. In this paper, we will show that the above result remains valid if f and g share four distinct small functions counted with multiplicities truncated by 2. This is the best possible truncation level.

引用

页码：25 / 35

页数：11

共 15 条

[1]

CARTAN H, 1929, CR HEBD ACAD SCI, V188, P301

[2] Uniqueness problem of meromorphic functions sharing small functions [J].