Strong uniqueness polynomials of degree 6 and unique range sets for powers of meromorphic functions

被引：12

作者：

Ha Huy Khoai ^{[1
]}

Vu Hoai An ^{[1
,2
]}

Nguyen Xuan Lai ^{[2
]}

机构：

[1] Thang Long Inst Math & Appl Sci, Hanoi, Vietnam

[2] Hai Duong Pedag Coll, Hai Duong, Vietnam

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2018年 / 29卷 / 05期

关键词：

Uniqueness polynomials; unique range sets; powers of meromorphic functions;

D O I：

10.1142/S0129167X18500374

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the uniqueness problems for meromorphic functions with higher multiplicities of zeros and poles. As a consequence, we present a class of strong uniqueness polynomials for meromorphic functions (SUPM) of degree 6. We also proved that there exist the sets S of seven elements such that for arbitrary two meromorphic functions f and g, the condition E-fd(S) = E(g)d (S), with d >= 2, implies f = xi g, where xi is a root of unity of degree d.

引用

页数：19

共 10 条

[1] On a result of H. Fujimoto [J].