| 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].数学年刊A辑(中文版),2015,36(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c≠0,a≠b,且n为正整数.如果a是f的Borel例外值,且Δ_c~nf(z)与f(z)IM分担b,则f(z)=a+Ae~(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 Difference
Operators |
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| WANG Pinling,YANG Degui and LIU Dan.Unicity of Entire Functions and Their Difference
Operators[J].Chinese Annals of Mathematics,2015,36(4):367-374. |
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| Authors: | WANG Pinling YANG Degui and LIU Dan |
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| Institution: | 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 finite
values such that c 6= 0, a 6= b, and let n be a positive integer. If a is the Borel exceptional
value of f, and nc
f(z) and f(z) share b IM, then f(z) = a + AeBz, where A,B are two
nonzero constants. |
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| Keywords: | Entire function Unicity Difference operators |
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