奇点指数计算的新方法  

A New Method of Calculated Index of Singular Point

作　　者：王义成 肖箭[1] 龚丽亚 WANG Yicheng;XIAO Jian;GONG Liya(School of Mathematical Sciences,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《安庆师范大学学报（自然科学版）》2018年第3期27-29,共3页Journal of Anqing Normal University(Natural Science Edition)

基　　金：安徽省教育厅自然科学基金(KJ2012A171)

摘　　要：本文研究了平面C1向量场的奇点指数计算问题,并利用多项式互素定理,构造一类特殊的齐次多项式,应用奇点指数的几何意义,得到计算奇点指数的新方法,此方法与Cauchy指标计算方法不同,在计算中更加简洁有效。In this paper,problems of calculated index number at singular point for vector field on C1 are studied.A special homogeneous polynomials is comstructed by using polynomial prime theorem.A new and convenient method of calculated index is obtained applying the geometric significance for index,which is different from algebraic of Cauchy-index.This method is more concise and effective in calculation.

关 键 词：奇点指数 Cauchy指标 互素多项式 

分 类 号：O117[理学—数学]