全平面上Laplace-Stieltjes变换所表示整函数的增长性

doi:10.13371/j.cnki.chin.q.j.m.2020.04.004

数学季刊 ›› 2020, Vol. 35 ›› Issue (4): 363-369.doi: 10.13371/j.cnki.chin.q.j.m.2020.04.004

全平面上Laplace-Stieltjes变换所表示整函数的增长性

1. College of Mathematics and Statistics, Jiangxi Normal University, Nanchang 330022; 2. Suzhouwan Experimental Junior Middle School, Suzhou 215200; 3. Basic Department, Army Infantry of PLA, Nanchang 330000

收稿日期:2020-09-01 出版日期:2020-12-30 发布日期:2021-01-06
作者简介: NING Ju-hong(1977-), female, native of Sanmenxia, Henan, associate professor of Jiangxi Normal University, engages in complex analysis; Song Wen-pei(1991-), female, native of Fuyang, Anhui, teacher of Suzhouwan Experimental Junior Middle School, engages in complex analysis; HUANG Wen-Ping (1974-), male, native of Nanfeng, Jiangxi, associate professor of Army Infantry College of PLA, engages in reliability.
基金资助:
Supported by National Natural Science Foundation of China (Grant No. 11661044).

The Growth of the Entire Function Represented by the Laplace-Stieltjes Transform in the Whole Plane

1. College of Mathematics and Statistics, Jiangxi Normal University, Nanchang 330022; 2. Suzhouwan Experimental Junior Middle School, Suzhou 215200; 3. Basic Department, Army Infantry of PLA, Nanchang 330000

Received:2020-09-01 Online:2020-12-30 Published:2021-01-06
About author: NING Ju-hong(1977-), female, native of Sanmenxia, Henan, associate professor of Jiangxi Normal University, engages in complex analysis; Song Wen-pei(1991-), female, native of Fuyang, Anhui, teacher of Suzhouwan Experimental Junior Middle School, engages in complex analysis; HUANG Wen-Ping (1974-), male, native of Nanfeng, Jiangxi, associate professor of Army Infantry College of PLA, engages in reliability.
Supported by:
Supported by National Natural Science Foundation of China (Grant No. 11661044).

摘要/Abstract

摘要：

In the paper, the α-order of the Laplace-Stieltjes Transform is introduced firstly, then we get the relationship between

α-order represented by the maximum modulus and α-order represented by A^∗_n, λn. Lastly, we obtain the relationship between type τ represented by the maximum modulus and type τ represented by A^∗_n, λ_n.

关键词: Laplace-Stieltjes transform, Maximum modulus, Maximum term, α-Order, Generalized type

Abstract:

In the paper, the α-order of the Laplace-Stieltjes Transform is introduced firstly, then we get the relationship between

Key words: Laplace-Stieltjes transform, Maximum modulus, Maximum term, α-Order; Generalized type

中图分类号:

O174.5

宁菊红, 宋文佩, 黄文平. 全平面上Laplace-Stieltjes变换所表示整函数的增长性[J]. 数学季刊, 2020, 35(4): 363-369.

NING Ju-hong , SONG Wen-pei , HUANG Wen-ping. The Growth of the Entire Function Represented by the Laplace-Stieltjes Transform in the Whole Plane[J]. Chinese Quarterly Journal of Mathematics, 2020, 35(4): 363-369.

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全平面上Laplace-Stieltjes变换所表示整函数的增长性

The Growth of the Entire Function Represented by the Laplace-Stieltjes Transform in the Whole Plane

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