摘要
定义了双侧与下侧二重Dirichlet级数 ;通过引进一个随机变量序列 ,在概率空间 (Ω ,A ,P)上定义了下侧二重随机Dirichlet级数 ,建立了该级数的相关收敛横坐标及θ线性下级与该级数的随机系数 |a-mn(ω) |的分布函数之间的关系 ;建立了该级数所定义的随机解析函数的θ线性下级与下型的存在定理 ,推广了单复变数的随机Dirichlet级数与下侧二重Laplace -Stieltjes积分的有关结果 .
This paper presents the definition of bilateral and lower side bitangent Dirichlet Series.By introducing a random variable sequence,lower side bitangent random Dirichlet Series is also defined on the probability space.The paper establishes the convergence dependent abscissa,the relationship between the linear lower order and the random coefficients of the series,and the existence theorem of the linear lower order and the lower type of the random analytic function defined by the series.The paper also extends the corresponding results of one complex variable random Dirichlet Series and lower bitangent Laplace Stieltjes transform.
出处
《广东工业大学学报》
CAS
2001年第3期85-91,共7页
Journal of Guangdong University of Technology
关键词
下侧二重随机Dirichlet级数
相关有界收敛横坐标
θ线性下级
θ线性准确下级
增长性
收敛性
lower side bitangent random Dirichlet series
random analytic function
abscissa of dependent bound convergence
distribution function
θ linear lower order
θ linear proximate lower order
lower type of θ linear lower order
