有理函数无穷限积分定理的推广和应用  

Generalization and Application of the Infinite-LimitedIntegral Theorem for a Rational Function

作　　者：俞诗秋[1] 刘祖邦[2] 

机构地区：[1]中南民族大学计算机科学学院,武汉430074 [2]中南民族大学应用数学系,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2005年第1期85-87,共3页Journal of South-Central University for Nationalities：Natural Science Edition

摘　　要：在一含有有理函数的极点的分段光滑封闭曲线中的实轴上 ,深入讨论了有理函数无穷限积分定理的推广 .由计算有理函数的留数和积分 ,得到了与原来的定理类似的结果 ,并通过该推广定理在实例中的应用说明了它是正确的 .This paper intensively discussed the generalization of the infinite-limited integral theorem for a rational function on the real axis in a piecewiss smooth closed curve which contains poles of a rational function. By calculating residues and integrals of a rational function, this paper got the analogous result with primitive theorem, then applied this theorem to a practical example, it illustrated correctly.

关 键 词：有理函数 分段光滑封闭曲线 孤立奇点 极点 留数 

分 类 号：O173[理学—数学]