二维B值随机Dirichlet级数的收敛性  

The Convergence of 2_Dimension B_Valued Random Dirlchlet Series

作　　者：刘玉成[1] 

机构地区：[1]荆门职业技术学院学报编辑部,湖北荆门448000

出　　处：《郧阳师范高等专科学校学报》2003年第3期4-6,共3页Journal of Yunyang Teachers College

基　　金：湖北省教育厅科学研究项目[2001C36]

摘　　要：在随机变量列{X_n(ω)}为独立同分布和不要求独立同分布两种情况下,研究了二维B值随机Dirichlet级数的收效性,给出了二维B值随机Dirichlet级数的相关收敛横坐标及以参数形式表示的Valiron(瓦里隆)公式,证明了在一定条件下二维B值随机Dirichlet级数与其相应的二维B值Dirichlet级数a.s.具有相同的成对的相关收敛横坐标.In this thesis,the convergence properties of 2_dimension B_valued random Dirichlet series are studied while { Xn (ω)}is a sequence of independent and equally distributed or not. Then the associated abscissa of convergence and Valiron formulas of 2_dimension B_valued random Dirichlet series are given. Here, the Valiron formulas are expressed wih parameter. The author also proved that the 2_dimension B_valued Dirichlet series have the same associated convergent abscissa asits corresponding 2_dimension B_valued series under suitable conditions.

关 键 词：二雏B值随机Dirichlet级数 收敛性 相关收敛横坐标 Valiron公式 

分 类 号：O173.1[理学—数学]