摘要
证明了一类随机Taylor级数,几乎必然以收敛圆周为自然边界,即不能解析开拓到收敛圆外.
in this paper we have proved that certain random Taylor series almost surelyconverges with its convergence circle as the natural boundary, that is, this series cannot beanalytically extended out of its convergence circle.
出处
《中南民族大学学报(自然科学版)》
CAS
1995年第3期45-48,共4页
Journal of South-Central University for Nationalities:Natural Science Edition
关键词
随机变量序列
随机级数
收敛圆
自然边界
sequence of random variables
random series
covergence circle
natural boundary