复函中推广的广义积分科希主值的计算定理  

Spread Calculation Theorem of Improper Integral Cauchy Principal Value in Complex Functions

作　　者：陆培民[1] 程利青[1] 

机构地区：[1]福州大学物理与信息工程学院,福建福州350002

出　　处：《江西科学》2005年第4期411-413,共3页Jiangxi Science

基　　金：福建省教育厅高校科技项目(JB03046)。

摘　　要：讨论了用留数定理计算广义积分的科希主值时辅助函数在实轴上有高阶极点的情况,并提出新的计算定理。应用新的定理,不但能够容易地找出辅助函数。This article discusses the use of the theorem of the residues to calculate Cauchy＇s Principal values of the improper integral, where auxiliary function has poles of higher order on the real axis and proposes a new theorem of culcuation. Applying this new theorem, one can easily find the auxiliary function and solve many problems of Cauchy＇s principal values of improper integral as well, the original theorem being unable to do so.

关 键 词：留数 极点 辅助函数 

分 类 号：O172.2[理学—数学]