Laplace-Stieltjes变换表示的解析函数的慢增长性  

On the Slow Growth of Analytic Functions Represented by Laplace-Stieltjes Transformations

作　　者：陆万春 陈楠楠 肖可成 LU Wan-chun;CHEN Nan-nan;XIAO Ke-cheng(School of Engineering and Management,Pingxiang University,Pingxiang Jiangxi 337000,China)

机构地区：[1]萍乡学院工程与管理学院,江西萍乡337000

出　　处：《萍乡学院学报》2020年第6期1-6,共6页Journal of Pingxiang University

基　　金：江西省教育厅科学技术研究项目(GJJ181101、GJJ181112);萍乡市科技计划项目(2017GY005);萍乡学院青年科研基金资助项目(2018D0208)。

摘　　要：研究了在半平面Res<α收敛的零级Laplace-Stieltjes变换增长性,得到半平面Res<α上收敛的零级Laplace-Stieltjes变换的系数特征,推广了Laplace-Stieltjes变换及Dirichlet级数的相关结果。The growth of the zero order Laplace-Stieltjes transformations with convergence in the half-plane Res<α are studied,obtaining the coefficient characterizations of the zero order Laplace-Stieltjes transformations converging in the half plane Res<α.The results of the Laplace-Stieltjes transformations and Dirichlet series are extended.

关 键 词：LAPLACE-STIELTJES变换 零级 增长级 

分 类 号：O174.52[理学—数学]