[1]陆万春,陈楠楠.慢增长Laplace-Stieltjes变换的β-级和下β-级[J].江西师范大学学报(自然科学版),2020,(06):594-598.[doi:10.16357/j.cnki.issn1000-5862.2020.06.08]
　LU Wanchun,CHEN Nannan.The β-Order and Lower β-Order of Laplace-Stieltjes Transform of Slow Growth[J].Journal of Jiangxi Normal University:Natural Science Edition,2020,(06):594-598.[doi:10.16357/j.cnki.issn1000-5862.2020.06.08]
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慢增长Laplace-Stieltjes变换的β-级和下β-级()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2020年06期
页码:
594-598
栏目:
复分析研究
出版日期:
2020-12-20

文章信息/Info

Title:
The β-Order and Lower β-Order of Laplace-Stieltjes Transform of Slow Growth
文章编号:
1000-5862(2020)06-0594-05
作者:
陆万春; 陈楠楠
萍乡学院工程与管理学院,江西 萍乡 337055
Author(s):
LU Wanchun; CHEN Nannan
College of Engineering and Management,Pingxiang University,Pingxiang Jiangxi 337055,China
关键词:
Laplace-Stieltjes变换;  零级;  β-级;  下β-级
Keywords:
Laplace-Stieltjes transform;  zero order;  β-order;  lower β-order
分类号:
O 174.52
DOI:
10.16357/j.cnki.issn1000-5862.2020.06.08
文献标志码:
A
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.
Abstract:
The β-order and lower β-order of analytic functions defined by zero order Laplace-Stieltjes transformation converging in right plane are studied.The characterizations of β-order,lower β-order and regular β-order of analytic functions of slow growth are obtained,which improve several previous results and extends some results of Dirichlet series.

参考文献/References:

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相似文献/References:

[1]陆万春.Laplace-Stieltjes变换所确定的解析函数的λ*-对数型[J].江西师范大学学报(自然科学版),2016,40(06):591.
　LU Wanchun.On the λ*-Logarithmic Type of Analytic Functions Represented by Laplace-Stieltjes Transformation[J].Journal of Jiangxi Normal University:Natural Science Edition,2016,40(06):591.
[2]徐洪焱.Laplace-Stieltjes变换的对数级与对数型[J].江西师范大学学报(自然科学版),2017,(02):180.
　XU Hongyan.The Logarithmic Order and Logarithmic Type of Laplace-Stieltjes Transform[J].Journal of Jiangxi Normal University:Natural Science Edition,2017,(06):180.
[3]吴 楠.零级亚纯函数关于小函数的T方向[J].江西师范大学学报(自然科学版),2021,(06):625.[doi:10.16357/j.cnki.issn1000-5862.2021.06.11]
　WU Nan.The T Directions of Meromorphic Functions of Zero Orders Dealing With Small Functions[J].Journal of Jiangxi Normal University:Natural Science Edition,2021,(06):625.[doi:10.16357/j.cnki.issn1000-5862.2021.06.11]
[4]张少吟,宁菊红*,黄文平.Laplace-Stieltjes变换的广义型[J].江西师范大学学报(自然科学版),2022,(04):331.[doi:10.16357/j.cnki.issn1000-5862.2022.04.01]
　ZHANG Shaoyin,NING Juhong*,HUANG Wenping.The Generalized Type of Laplace-Stieltjes Transform[J].Journal of Jiangxi Normal University:Natural Science Edition,2022,(06):331.[doi:10.16357/j.cnki.issn1000-5862.2022.04.01]

备注/Memo

备注/Memo:
收稿日期:2020-07-24
基金项目:国家自然科学基金(11661065),江西省教育厅科技课题(GJJ181101,GJJ181112)和萍乡市科技计划(2017GY005)资助项目.
作者简介:陆万春(1978-),男,江西信丰人,副教授,主要从事复分析研究.E-mail:125058827@qq.com
更新日期/Last Update: 2020-12-20