湖南师范大学自然科学学报
湖南師範大學自然科學學報
호남사범대학자연과학학보
ACTA SCIENTIARUM NATURALIUM UNIVERSITATIS NORMALIS HUNANENSIS
2008年
4期
3-6
,共4页
柯西变换%罗朗级数%Lebesgue测度
柯西變換%囉朗級數%Lebesgue測度
가서변환%라랑급수%Lebesgue측도
Cauchy transform%Laurent series%Lebesgue measure
定义柯西变换F(z)=∫kdμ(w)/z-w,z∈C\K,其中,K是顶点为{eizkπ/n}n-1/k=o的正多边形.通过对此柯西变换的研究,得到了某些级数的和.
定義柯西變換F(z)=∫kdμ(w)/z-w,z∈C\K,其中,K是頂點為{eizkπ/n}n-1/k=o的正多邊形.通過對此柯西變換的研究,得到瞭某些級數的和.
정의가서변환F(z)=∫kdμ(w)/z-w,z∈C\K,기중,K시정점위{eizkπ/n}n-1/k=o적정다변형.통과대차가서변환적연구,득도료모사급수적화.
Abstract The Cauchy transfrom of μ on K by F(z)=∫kdμ(w)/z-w for z ∈ C\K is defined,where K is a regular n-polygon with vertices {eizkπ/n}n-1/k=o, then the sums of some series through this Cauchy transform are obtained.
