| MEROMORPHIC FUNCTIONS SHARING TWO FINITE SETS |
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| 引用本文： | 林伟川 仪洪勋. MEROMORPHIC FUNCTIONS SHARING TWO FINITE SETS[J]. 数学物理学报(B辑英文版), 2007, 27(4): 845-851. DOI: 10.1016/S0252-9602(07)60082-4 |
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| 作者姓名： | 林伟川 仪洪勋 |
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| 作者单位： | Department of Mathematics Fujian Normal University Fuzhou 350007，China，Department of Mathematics Shandong University，Jinan 250100，China |
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| 基金项目： | 国家自然科学基金，Fujian Province Youth Science Technology Program，the Doctoral Programme Foundation of Higher Education |
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| 摘 要： | Let S1 ＝ {∞} and S2 ＝ {w: Ps(w)＝ 0}, Ps(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(Si) ＝ g-1(Si)(i ＝ 1,2), where f-1(Si) and g-1(Si) denote the pull-backs of Si considered as a divisor, namely, the inverse images of Si counted with multiplicities, by f and g respectively.
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| 关 键 词： | 亚纯函数 单值性多项式 共享集 有限集 |
| 收稿时间： | 15 May 2005. |
| 修稿时间： | 2005-05-15 |
Meromorphic functions sharing two finite sets |
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| Lin Weichuan,Yi Hongxun. Meromorphic functions sharing two finite sets[J]. Acta Mathematica Scientia, 2007, 27(4): 845-851. DOI: 10.1016/S0252-9602(07)60082-4 |
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| Authors: | Lin Weichuan Yi Hongxun |
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| Affiliation: | Department of Mathematics, Fujian Normal University, Fuzhou 350007, China ; Department of Mathematics, Shandong University, Jinan 250100, China |
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| Abstract: | Let S1 = {∞} and S2 = {w: Ps(w) = 0}, Ps(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(Si) = g−1(Si), (i = 1,2), where f−1(Si) and g−1(Si) denote the pull-backs of Si considered as a divisor, namely, the inverse images ofSi counted with multiplicities, by f and g respectively. |
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| Keywords: | Meromorphic function uniqueness polynomial shared-set |
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