[1]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):590-593.[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,(06):590-593.[doi:10.16357/j.cnki.issn1000-5862.2020.06.07]
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广义Laplace-Stieltjes变换所表示整函数的β级和广义型()
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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:
2020年06期
页码:
590-593
栏目:
复分析研究
出版日期:
2020-12-20

文章信息/Info

Title:
The β Order and Generalized Type of Entire Functions Represented by Generalized Laplace-Stieltjes Transforms
文章编号:
1000-5862(2020)06-0590-04
作者:
宁菊红1; 宋文佩2; 黄文平3
1.江西师范大学数学与统计学院,江西 南昌 330022; 2.苏州湾初级实验中学,江苏 苏州 215200; 3.陆军步兵学院基础部数学教研室,江西 南昌 330103
Author(s):
NING Juhong1; SONG Wenpei2; HUANG Wenping3
1.School of Mathematics and Statistics,Jiangxi Normal University,Nanchang Jiangxi 330022,China; 2.Suzhouwan Experimental Junior Middle School,Suzhou Jiangsu 215200,China; 3.Basic Department,Army Infantry College,Nanchang Jiangxi 330103,China
关键词:
整函数;  广义Laplace-Stieltjes变换;  最大模;  最大项;  β级;  广义型
Keywords:
entire functions;  generalized Laplace-Stieltjes;  maximum modulus;  maximum term;  β order;  generalized type
分类号:
O 174.52
DOI:
10.16357/j.cnki.issn1000-5862.2020.06.07
文献标志码:
A
摘要:
该文研究了由广义Laplace-Stieltjes变换所表示的整函数的增长性.首先介绍了由广义Laplace-Stieltjes变换所表示的整函数在圆周上的最大模、最大项的定义; 其次研究并得到了由最大模、最大项所表示的整函数的β级、广义型和用An、λn所表示的整函数的β级、广义型之间的等价关系; 最后给出了定理的相应推论,得到了Laplace-Stieltjes变换所表示的整函数在圆周上的β级、广义型.
Abstract:
The growth of the entire function represented by the generalized Laplace-Stieltjes transform is studied in this paper.Firstly,the definition of the maximum modulus and maximum term of the entire function is introduced.Secondly,the equivalence relation between the β order,generalized type of the entire function represented by the maximum modulus and maximum term and the β order,generalized type of the entire function represented by An、λn is studied and obtained.Finally,the corresponding corollaries of the theorem are given.The β order and generalized type of the entire function represented by Laplace-Stieltjes transform on the circumference are obtained.

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备注/Memo

备注/Memo:
收稿日期:2020-07-29
基金项目:国家自然科学基金(11661044)资助项目.
作者简介: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: 2020-12-20