MEROMORPHIC FUNCTIONS SHARING TWO FINITE SETS

doi:10.1016/S0252-9602(07)60082-4

数学物理学报(英文版)

MEROMORPHIC FUNCTIONS SHARING TWO FINITE SETS

林伟川; 仪洪勋

福建师范大学数学系, 福州 350007

收稿日期:2005-05-15 修回日期:1900-01-01 出版日期:2007-10-20 发布日期:2007-10-20
通讯作者: 林伟川
基金资助:
This work was supported by the National Natural Science Foundation of China (10671109), Fujian Province Youth Science Technology Program (2003J006) and the Doctoral Programme Foundation of Higher Education (20060422049)

MEROMORPHIC FUNCTIONS SHARING TWO FINITE SETS

Lin Weichuan; Yi Hongxun

Department of Mathematics, Fujian Normal University, Fuzhou 350007, China

Received:2005-05-15 Revised:1900-01-01 Online:2007-10-20 Published:2007-10-20
Contact: Lin Weichuan

摘要/Abstract

摘要：

Let S₁={∞} and S₂={w: P_s(w)=0}, P_s(w) being a uniqueness polynomial under some restricted conditions. Then, for any given nonconstant meromorphic function f, there exist at most finitely many nonconstant meromorphic functions g such that f^-1(S_i)=g^-1(S_i), (i=1,2), where f^-1(S_i) and g^-1(S_i)$ denote the pull-backs of S_iconsidered as a divisor, namely, the inverse images of S_icounted with multiplicities, by f and g respectively.

关键词: Meromorphic function, uniqueness polynomial, shared-set

Abstract:

Key words: Meromorphic function, uniqueness polynomial, shared-set

中图分类号:

30D35

林伟川; 仪洪勋. MEROMORPHIC FUNCTIONS SHARING TWO FINITE SETS[J]. 数学物理学报(英文版), 2007, 27(4): 845-851.

Lin Weichuan; Yi Hongxun. MEROMORPHIC FUNCTIONS SHARING TWO FINITE SETS[J]. Acta mathematica scientia,Series B, 2007, 27(4): 845-851.

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MEROMORPHIC FUNCTIONS SHARING TWO FINITE SETS

MEROMORPHIC FUNCTIONS SHARING TWO FINITE SETS

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