SOME REMARKS ON HOLOMORPHIC FUNCTIONS AND TAYLOR SERIES IN C~n

被引：0

作者：

余家荣 ^{[1
]}

机构：

[1] School of Mathematics and Statistics,Wuhan University

来源：

Acta Mathematica Scientia | 2008年 / 04期

关键词：

Polar coordinates; Taylor series; holomorphic functions;

D O I：

暂无

中图分类号：

O173.1 [发散级数、可求和性、收敛因子];

学科分类号：

0701 ; 070101 ;

摘要：

Some previous results on convergence of Taylor series in Cn [3] are improved by indicating outside the domain of convergence the points where the series diverges and simplifying some proofs. These results contain the Cauchy-Hadamard theorem in C. Some Cauchy integral formulas of a holomorphic function on a closed ball in Cn are constructed and the Taylor series expansion is deduced.

引用

页码：721 / 726

页数：6