THE NATURAL BOUNDARY OF SOME RANDOM POWER SERIES

作     者：孙道椿 Sun Daochun Dept.of Math., Wuhan University, Wuhan,China

作者机构：Dept. of Math. Wuhan University Wuhan China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：1991年第11卷第4期

页      面：463-469页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by NSF 

主　　题：Th THE NATURAL BOUNDARY OF SOME RANDOM POWER SERIES 

摘      要：Suppose that {X(n)(omega)} are independent random complex variable sequence, E(X(n)) = 0 and [GRAPHICS] (V(X(n) = sigma(n)2). If reversed capital E-epsilon 0 such that for all P (H) 1-epsilon, we have [GRAPHICS] Then the circle {\Z\ = rho} is almost surely a natural boundary of the random series [GRAPHICS]