UNIQUENESS POLYNOMIALS FOR COMPLEX MEROMORPHIC FUNCTIONS

UNIQUENESS POLYNOMIALS FOR COMPLEX MEROMORPHIC FUNCTIONS
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复杂亚形函数的唯一多项式

DOI:
10.1142/s0129167x02001605
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发表时间:
2002
影响因子:
0.6
通讯作者:
Julietzu
Julietzu
中科院分区:
数学4区
文献类型:
--
作者:
T. An;Julietzu

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一个多项式P(X)称为亚纯函数的强唯一多项式,如果存在两个非常数亚纯函数f和g以及一个复非零常数c使得P(f)= cP(g),则必有f = g.本文在P(X)在P′(X)= 0的根上内射的假设下,给出了亚纯函数多项式是强唯一多项式的一个充要条件.
A polynomial P(X) in is called a strong uniqueness polynomial for meromorphic functions if whenever there exist two non-constant meromorphic functions f and g and a complex non-zero constant c such that P(f) = cP(g), then we must have f = g. In this paper, we give a necessary and sufficient condition for a polynomial to be a strong uniqueness polynomial for meromorphic functions under the assumption that P(X) is injective on the roots of P′(X) = 0.
DOI: 10.1017/s0027763000008527
发表时间: 2003
影响因子: 0.8
作者:
H. Fujimoto
通讯作者: H. Fujimoto