[1]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):331-334.[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,(04):331-334.[doi:10.16357/j.cnki.issn1000-5862.2022.04.01]
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Laplace-Stieltjes变换的广义型()
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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:
期数:
2022年04期
页码:
331-334
栏目:
复分析
出版日期:
2022-07-25

文章信息/Info

Title:
The Generalized Type of Laplace-Stieltjes Transform
文章编号:
1000-5862(2022)04-0331-04
作者:
张少吟1宁菊红1*黄文平2
1.江西师范大学数学与统计学院,江西 南昌 330022; 2.陆军步兵学院基础部,江西 南昌 330103
Author(s):
ZHANG Shaoyin1NING Juhong1*HUANG Wenping2
1.School of Mathematics and Statistics,Jiangxi Normal University,Nanchang Jiangxi 330022,China; 2.Basic Department,Army Infantry College,Nanchang Jiangxi 330103,China
关键词:
Laplace-Stieltjes变换 最大模 最大项 有限级 无限级 广义型
Keywords:
Laplace-Stieltjes transform maximum modulus maximum term finite order infinite order generalized type
分类号:
O 174.52
DOI:
10.16357/j.cnki.issn1000-5862.2022.04.01
文献标志码:
A
摘要:
通过引入有限级和无限级的广义型概念,该文讨论了Laplace-Stieltjes变换在全平面上的增长性,得到了由最大模、最大项所表示的广义型和由系数、指数所表示的广义型之间的等价关系,推广了已有的相关结果.
Abstract:
In this paper,by introduce the concept of generalized type of finite and infinite order,the growth of Laplace-Stieltjes transform in the whole plane is investigated and the equivalence relation between the generalized type represented by the maximum modulus,maximum term and the generalized type represented by the coefficient,exponent is obtained,which generalize the related result.

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(04):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,(04):180.
[3]涂 金,吕凤恒,江 杰.整函数与解析函数的最大模M(r,f)及其导函数M'(r,f)增长性比较[J].江西师范大学学报(自然科学版),2019,(04):331.[doi:10.16357/j.cnki.issn1000-5862.2019.04.01]
 TU Jin,LYU Fengheng,JIANG Jie.The Comparison on the Growth of the Maximum Moduli M(r,f)and Its Derivative Function M'(r,f)of Entire Function and Analytic Function[J].Journal of Jiangxi Normal University:Natural Science Edition,2019,(04):331.[doi:10.16357/j.cnki.issn1000-5862.2019.04.01]
[4]宁菊红,宋文佩,黄文平.广义Laplace-Stieltjes变换所表示整函数的β级和广义型[J].江西师范大学学报(自然科学版),2020,(06):590.[doi:10.16357/j.cnki.issn1000-5862.2020.06.07]
 NING Juhong,SONG Wenpei,HUANG Wenping.The β Order and Generalized Type of Entire Functions Represented by Generalized Laplace-Stieltjes Transforms[J].Journal of Jiangxi Normal University:Natural Science Edition,2020,(04):590.[doi:10.16357/j.cnki.issn1000-5862.2020.06.07]
[5]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]
 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,(04):594.[doi:10.16357/j.cnki.issn1000-5862.2020.06.08]

备注/Memo

备注/Memo:
收稿日期:2022-01-06
基金项目:国家自然科学基金(11661044)资助项目.
通信作者:宁菊红(1977—),女,河南三门峡人,副教授,博士,主要从事复分析研究.E-mail:ningjuh@163.com
更新日期/Last Update: 2022-07-25