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.
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
关键词
亚纯函数广义积分
CAUCHY主值
留数定理
meromorphic function, generalized integrals, Cauchy principal value, theorem of residues
