| 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,2015,36(4):367~374 |
| 整函数及其差分的唯一性 |
| Unicity of Entire Functions and Their DifferenceOperators |
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| DOI： |
| 中文关键词: 整函数, 唯一性, 差分算子 |
| 英文关键词:Entire function, Unicity, Difference operators |
| 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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| 中文摘要: |
| 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$c\not= 0$, $a\not= b$, 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. |
| 英文摘要: |
| 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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