半平面上解析的Laplace-Stieltjes变换的对数精确级  

On the logarithmic proximate order of analytic functions represented by Laplace-Stieltjes transformation

作　　者：王金莲[1] 陆万春[2] 

机构地区：[1]江西师范大学学报杂志社,江西南昌330027 [2]萍乡学院数学系,江西萍乡337055

出　　处：《东北师大学报（自然科学版）》2015年第4期7-10,共4页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11171170);江西省教育厅科技基金资助项目(GJJ13788)

摘　　要：利用对数精确级的定义,研究了右半平面上解析的Laplace-Stieltjes变换的对数精确级,得到对数精确级与最大模、最大项及中心指标的关系,推广了Dirichlet级数的相关结果.By using the definition of logarithmic proximate order,the logarithmic proximate order of functions represented by Laplace-Stieltjes transformation,which are analytic in the half plane,is studied.And the relations which depict how the growth of maximum term is closely connected with that of central index and logarithmic proximate order are derived.Some results of Dirichlet series are improved.

关 键 词：对数精确级 LAPLACE-STIELTJES变换 最大项 中心指标 增长性 

分 类 号：O174.52[理学—数学]