二重B-值随机Dirichlet级数的收敛性  

On the Convergence of the Double B-valued Random Dirichlet Series

作　　者：崔冬林[1] 

机构地区：[1]湖北大学数学与计算机科学学院,湖北武汉430062

出　　处：《长江大学学报（自科版）（上旬）》2009年第2期146-148,共3页JOURNAL OF YANGTZE UNIVERSITY (NATURAL SCIENCE EDITION) SCI ＆ ENG

摘　　要：主要研究了B-值随机变量列{Xmn(ω)}在某阶矩一致有界条件下的性质,得到了在一定的条件下,指数也是随机变量的二重B-值随机Dirichlet级数sum from m=1 to ∞ ()sum from n=1 to ∞ ()amnXmn(ω)e-λm(ω)s-μn(ω)ta.s.与级数sum from m=1 to ∞ ()sum from n=1 to ∞ ()=1amne-Eλms-Eμnt有相同的成对的相关收敛横坐标的结论。The property of a sequence of the double B-valued random variables was studied with some uniform boundary moments.Under suitable conditions,the double B-valued random Dirichlet series um from m=1 to ∞()sum from n=1 to ∞()amnXmn(ω)e-λm(ω)s-μn(ω)t a.s.is the same associated abscissas of convergence as the corresponding double B-valued Dirichlet series um from m=1 to ∞()sum from n=1 to ∞()amne-Eλms-Eμnt.

关 键 词：二重B-值随机Dirichlet级数 相关收敛横坐标 Valiron公式 

分 类 号：O211.5[理学—概率论与数理统计]