一类亚纯函数的广义积分及其Cauchy主值  

On the Generalized Integrals of Meromorphic Functions and Their Cauchy Principal Value

作　　者：张毅[1] 

机构地区：[1]柳州城市职业学院,广西柳州545001

出　　处：《广西科学院学报》2009年第3期154-156,共3页Journal of Guangxi Academy of Sciences

基　　金：广西自然科学基金项目(桂科自0728041)资助

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。This article＇s prime task is solves the shape like type ∫^∞ -∞e^axf（e^x）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 ∫^∞ -∞e^axf（e^x）dx（or the Cauchy principal value） and the residues are gained.

关 键 词：亚纯函数广义积分 CAUCHY主值 留数定理 

分 类 号：O174.5[理学—数学]