慢增长Laplace-Stieltjes变换的β-级和下β-级  

Theβ-Order and Lowerβ-Order of Laplace-Stieltjes Transform of Slow Growth

作　　者：陆万春 陈楠楠 LU Wanchun;CHEN Nannan(College of Engineering and Management,Pingxiang University,Pingxiang Jiangxi 337055,China)

机构地区：[1]萍乡学院工程与管理学院,江西萍乡337055

出　　处：《江西师范大学学报（自然科学版）》2020年第6期594-598,共5页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11661065);江西省教育厅科技课题(GJJ181101,GJJ181112);萍乡市科技计划(2017GY005)资助项目.

摘　　要：通过定义β-级,研究了在右半平面上收敛的慢增长Laplace-Stieltjes变换的β-级及下β-级,得到右半平面收敛的慢增长Laplace-Stieltjes变换的β-级、下β-级以及β-正规增长的系数特征,推广了Laplace-Stieltjes变换及Dirichlet级数的相关结果.Theβ-order and lowerβ-order of analytic functions defined by zero order Laplace-Stieltjes transformation converging in right plane are studied.The characterizations ofβ-order,lowerβ-order and regularβ-order of analytic functions of slow growth are obtained,which improve several previous results and extends some results of Dirichlet series.

关 键 词：LAPLACE-STIELTJES变换 零级 β-级 下β-级 

分 类 号：O174.52[理学—数学]