On the Generalized Integrals of Meromorphic Functions and Their Cauchy Principal Value
Yuan Wen-jun · College Mathematics · 2008
By using the multiple-valued character of the function zp(-1p1,p≠0) and logz,this paper discusses generalized integrals ∫+∞0xpR(x)dx and their Cauchy principal value when the rational function R(z) without the pole,or only has simple pole,in the path,gain the theorem of relational expression between ∫+∞0R(x)dx(or the Cauchy principal value) and the residues.