二维B值随机Dirichlet级数的线性增长性  

The Liner Growth of 2 - Dimension B - valued Random Dirichlet 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：《岳阳师范学院学报（自然科学版）》2003年第1期56-59,共4页Journal of Yueyang Normal University

摘　　要：引入二维B值Dirichlet级数,对二维B值随机Dirichlet级数所表示的整函数的线性增长性进行了研究,在随机变量列{X_n(ω)}满足一定条件的情况下,证明了二维B位随机Dirichlet级数与二维B值Dirichlet级a.s.具有相同的线性增长级,同时给出了二维B值随机Dirichlet级数所表示的整函数具有线性增长级ρ_θ的充要条件。It draws into the 2 - dimention B - valued Dirichlet series and studies the liner growth properties of the entire fuction expressed by the 2 - dimension B - valued random Dirichlet series. Then the author proves that the 2 - dimention B - valued ran - dom Dirichlet series a. s. have the same liner growth order as the 2 - dimention B - valued Dirichlet series when the random variables(Xn(w) }satisfies certain conditions.This thesis also gives us the plentiful and essential condition, which such that the 2 - dimension B - valued random Dirichlet series have the liner growth order p6.

关 键 词：二维B值随机Dirichlet级数 线性增长性 整函数 线性增长级 二维B值Dirichlet级数 

分 类 号：O173.1[理学—数学]