| 复Gamma函数的定义形式及其等价证明的探讨 |
| |
| 引用本文： | 杨国翠,李自美. 复Gamma函数的定义形式及其等价证明的探讨[J]. 保山学院学报, 2011, 0(2): 61-65 |
| |
| 作者姓名： | 杨国翠 李自美 |
| |
| 作者单位： | 保山学院数学系;保山学院计科系 |
| |
| 基金项目： | 云南省教育厅一般项目(项目编号:2010Y051) |
| |
| 摘 要： | Gamma函数在复分析中占据了一定的地位。由于复数的复杂性,复分析中的Gamma函数产生了许多与数学分析中的Gamma函数不同的性质。Gamma函数的定义形式不唯一,它在复分析中主要有四种定义形式。试图系统地给出这四种定义形式的等价证明(其中,④■①为本人自己尝试给出的证明)。
|
| 关 键 词： | Gamma函数 复分析 定义 等价证明 |
The Definition Forms of The Gamma Function and The Study of Their Equivalent Proofs In Complex Analysis |
| |
| Yang Guo-cui,Li Zi-mei. The Definition Forms of The Gamma Function and The Study of Their Equivalent Proofs In Complex Analysis[J]. Journal of Baoshan Teachers College, 2011, 0(2): 61-65 |
| |
| Authors: | Yang Guo-cui Li Zi-mei |
| |
| Affiliation: | (Baoshan College,Baoshan,Yunnan,678000) |
| |
| Abstract: | The gamma function occupied a certain position in the complex analysis.Because of the complexity of the complex number,the gamma function produces many different properties in the complex analysis,contrasting in the mathematics analysis.The definition form of the gamma function isn’t unique,it mainly has four kinds of definition forms in the complex analysis.This paper tries to give their equivalent proofs systematically(among them,the proof of ④■① was finished by myself). |
| |
| Keywords: | Gamma function Complex analysis Definition Equivalent proof |
| 本文献已被 CNKI 等数据库收录！ |
|
