摘要
本文研究了半平面上零级Dirichlet级数的增长性和正规增长性.利用型函数,得到了其系数与增长性之间关系的两个充要条件,并证明了当随机变量序列{Xn(ω)}满足一定条件时,零级随机Dirichlet级数的增长性几乎必然与其在每条水平直线上的增长性相同.
In this paper, the growth and regular growth of Dirichlet series of zero order in the half plane are studied. By using type-function, two necessary and sufficient conditions about the relation between coefficients and growth of the Diriehlet series are obtained, We also prove that, when the random variable sequence {Xn（ω）} meets certain condition, the growth of random entire functions defined by random Dirichlet series of zero order in any horizontal straight line is almost surely equal to the growth of entire functions defined by their corresponding Dirichlet series.
出处
《数学杂志》
CSCD
北大核心
2014年第1期179-185,共7页
Journal of Mathematics
基金
国家自然科学基金资助(10471048)
