| THE SUM OF DEFICIENCIES OF ENTIRE FUNCTION ON C~n |
| |
| 引用本文： | JIN Lu,YE Yasheng. THE SUM OF DEFICIENCIES OF ENTIRE FUNCTION ON C~n[J]. 数学年刊B辑(英文版), 2003, 24(2): 221-226 |
| |
| 作者姓名： | JIN Lu YE Yasheng |
| |
| 作者单位： | JIN Lu YE YASHENG Department of Mathematics，Fudan University，Shanghai 200433，China. E-mail: jinluk@online.sh.cn Department of Basic Courses，University of Shanghai for Science and Technology，Shanghai 200093，China. |
| |
| 基金项目： | Project supported by the National Natural Science Foundation of China(No.10271029). |
| |
| 摘 要： | This paper proves that: Let / be an entire function of finite order λon Cn. Then(1) , where k(X) is a nonnegative constant depending only on A;(2) If (a, f) = 1, then A is a positive integer and equals the lower order of /.
|
| 关 键 词： | 整函数 亏格 阶 特征函数 亚纯映射 |
| 收稿时间： | 2014-01-02 |
THE SUM OF DEFICIENCIES OF ENTIRE FUNCTION ON $C^n$ |
| |
| JIN Lu and YE Yasheng. THE SUM OF DEFICIENCIES OF ENTIRE FUNCTION ON $C^n$[J]. Chinese Annals of Mathematics,Series B, 2003, 24(2): 221-226 |
| |
| Authors: | JIN Lu and YE Yasheng |
| |
| Affiliation: | 1. Department of Mathematics, Fudan University, Shanghai 200433, China
2. Department of Basic Courses, University of Shanghai for Science and Technology, Shanghai 200093,China |
| |
| Abstract: | This paper proves that: Let f be an entire function of finite order λ on Cn. Then(1) ∑ 5(a, f) ≤ 1 - k(λ), where k(λ) is a nonnegative constant depending only on λ;a∈C(2) If ∑a∈Cδ(a, f) = 1, then λ is a positive integer and equals the lower order of f. |
| |
| Keywords: | Entire function Meromorphic map Order Defect relation Characteristic function |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
|
点击此处可从《数学年刊B辑(英文版)》下载全文 |
