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

NING Ju-hong , SONG Wen-pei , HUANG Wen-ping

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

Chinese Quarterly Journal of Mathematics >

2020 , Vol. 35 >Issue 4: 363 - 369

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2020.04.004

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

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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

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.

Received date: 2020-09-01

Online published: 2021-01-06

Supported by

Supported by National Natural Science Foundation of China (Grant No. 11661044).

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Abstract

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.

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

Cite this article

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

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