摘要
对于在左半平面σ <0内收敛的下侧Dirichlet级数所定义的解析函数f1 (s)定义了下级 ;通过引入一个较弱的指数条件 ,建立了f1 (s)的下级存在的充分必要条件 ;定义了在概率空间 (Ω ,A ,P)上的下侧随机Dirichlet级数 (σ <0 ) ,研究了该级数所定义的随机解析函数f1 (s,ω)的下级存在的条件 ;建立了f1 (s)或f1 (s,ω)在σ<0内的准确下级和下型概念及其与f1 (s)或f1 (s,ω)的系数及指数之间的关系式 .
The defined lower order of analytic function f 1(s) defined by lower side Dirichlet series convergent on the left half plane σ<0; a weak coefficient condition is introduced to establish the necessary and sufficient condition off 1(s) lower order; the lower side random Dirichlet series (σ<0) is defined on probability space (Ω,A,P), to study the lower order condition for random analytic Function f 1(s,ω) defined by this series; the proximate lower order and lower type concept of f 1(s,ω) is established to establish the relations between this concept and the coefficients and exponent of f 1(s) and f 1(s,ω).
出处
《哈尔滨工业大学学报》
CSCD
北大核心
2000年第1期116-119,共4页
Journal of Harbin Institute of Technology
关键词
DIRICHLET级数
准确下级
随机级数
左半平面收敛
lower side Dirichlet series
lower side random Dirichlet series
Halp plane of convergence
lower order
proximate lower order
