[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):591-594.
　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):591-594.
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Laplace-Stieltjes变换所确定的解析函数的λ*-对数型()
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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:
40
期数:
2016年06期
页码:
591-594
栏目:
出版日期:
2016-12-01

文章信息/Info

Title:
On the λ*-Logarithmic Type of Analytic Functions Represented by Laplace-Stieltjes Transformation
作者:
陆万春
萍乡学院工程与管理学院,江西 萍乡 337055
Author(s):
LU Wanchun
College of Engineering and Management,Pingxiang University,Pingxiang Jiangxi 337055,China
关键词:
Laplace-Stieltjes变换;  下对数型;  λ*-对数型;  增长性
Keywords:
Laplace-Stieltjes transform;  lower logarithmic type;  λ*-logarithmic type;  growth
分类号:
O 174.52
摘要:
通过引入λ*-对数型的概念,研究了在右半平面收敛的Laplace-Stieltjes变换所确定的非正规对数增长的解析函数的增长性问题,并得到λ*-对数型与最大模、最大项及最大项指标的关系,推广了Dirichlet级数的相关结果.
Abstract:
By using the concept of λ*-logarithmic type,the analytic function of irregular logarithmic growth which defined by Laplace-Stieltjes transformation converging in right plane is studied.Some relationship on maximum modulus,maximum term,rank of maximum term and the λ*-logarithmic type are obtained,which extend some results of Dirichlet series.

参考文献/References:

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相似文献/References:

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　XU Hongyan.The Logarithmic Order and Logarithmic Type of Laplace-Stieltjes Transform[J].Journal of Jiangxi Normal University:Natural Science Edition,2017,(06):180.
[2]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.[doi:10.16357/j.cnki.issn1000-5862.2020.06.08]
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[3]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]
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备注/Memo

备注/Memo:
收稿日期:2016-07-25基金项目:国家自然科学基金(11661065)和江西省教育厅科技课题(GJJ151267,GJJ151262,GJJ151264)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.
更新日期/Last Update: 1900-01-01