| 摘要: |
| 运用留数定理求解形如∫-∞∞eaxf(ex)dx的一类亚纯函数的广义积分及其Cauchy主值的和,得到∫-∞∞eaxf(ex)dx(Cauchy主值)与留数间的关系。 |
| 关键词: 亚纯函数 广义积分 Cauchy主值 留数定理 |
| DOI： |
| 投稿时间：2009-05-13 |
| 基金项目:广西自然科学基金项目(桂科自0728041)资助 |
|
| On the Generalized Integrals of Meromorphic Functions and Their Cauchy Principal Value |
|
ZHANG Yi
|
| (Liuzhou City Vocational College, Liuzhou, Guangxi, 545001, China) |
| Abstract: |
| This article's prime task is solves the shape like type ∫-∞∞eaxf(ex)dx on the generalized integrals of meromorphic functions and their Cauchy principal value summation problem.By using the theorem of residues,in the path,the theorem of relational expression between ∫-∞∞eaxf(ex)dx(or the Cauchy principal value) and the residues are gained. |
| Key words: meromorphic function generalized integrals Cauchy principal value theorem of residues |
