半平面上有限级B值Dirichlet级数的增长性  

The Growth of B-valued Dirichlet Series of Finite Order in the Half Plane

作　　者：彭娟[1] 

机构地区：[1]湖北科技学院数学与统计学院,湖北咸宁437100

出　　处：《佳木斯大学学报（自然科学版）》2013年第3期471-474,共4页Journal of Jiamusi University：Natural Science Edition

基　　金：湖北科技学院校级科研项目资助(SK0605)

摘　　要：运用级数比较法研究了半平面上有限级B值Dirichlet级数的增长性与正规增长性,得到了两个充要条件,从而改良了一系列定理,并且使相应结论推广到了Banach空间.The growth of B - valued Dirichlet Series of finite order in the half plane was investigated and two necessary and sufficient conditions were obtained. Hence, a series of theorems were improved and the corre- sponding conclusions were extended to Banach space.

关 键 词：B值Dirichlet级数 增长性 正规增长性 增长级 

分 类 号：O221.5[理学—运筹学与控制论]