| 整函数及其差分的唯一性 |
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| 引用本文： | 王品玲,杨德贵,刘丹. 整函数及其差分的唯一性[J]. 河海大学学报(自然科学版), 2015, 0(4): 367-374 |
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| 作者姓名： | 王品玲 杨德贵 刘丹 |
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| 作者单位： | 上海立信会计学院数学与信息学院, 上海 210620,华南农业大学应用数学研究所, 广州 510642,华南农业大学应用数学研究所, 广州 510642 |
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| 基金项目： | 本文受到国家自然科学基金 (No.11371149) 的资助. |
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| 摘 要： | 设$f$是一个有穷级的超越整函数, $a, b, c$是3个有穷复数,满足$cnot= 0$, $anot= b$, 且$n$为正整数.如果$a$是$f$的Borel例外值, 且$Delta ^n_cf(z)$与$f(z)$ IM分担$b$,则$f(z)=a+A{rme}^{Bz}$, 其中$A, B$为两个非零常数.
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| 关 键 词： | 整函数 唯一性 差分算子 |
Unicity of Entire Functions and Their DifferenceOperators |
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| WANG Pinling,YANG Degui and LIU Dan. Unicity of Entire Functions and Their DifferenceOperators[J]. Journal of Hohai University (Natural Sciences ), 2015, 0(4): 367-374 |
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| Authors: | WANG Pinling YANG Degui LIU Dan |
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| Affiliation: | School of Mathematics and Information, Shanghai Lixin University of Commerce,Shanghai 210620, China.,Institute of Applied Mathematics, South China Agricultural University,Guangzhou 510642, China. and Institute of Applied Mathematics, South China Agricultural University,Guangzhou 510642, China. |
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| Abstract: | Let f be a transcendental entire function of finite order, let a, b, c be three finitevalues such that c 6= 0, a 6= b, and let n be a positive integer. If a is the Borel exceptionalvalue of f, and ncf(z) and f(z) share b IM, then f(z) = a + AeBz, where A,B are twononzero constants. |
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| Keywords: | Entire function Unicity Difference operators |
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