ON GENERALIZED ORDERS AND GENERALIZED TYPES OF DIRICHLET SERIES IN THE RIGHT HALF-PLANE

In the paper, generalized orders and generalized types of Dirichlet series in the right half-plane are given. Some interesting relationships on maximum modulus, the maximum term and the coefficients of entire function defined by Dirichlet series of in the right half-plane are obtained.

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Bibliographic Details
Published inActa mathematica scientia Vol. 34; no. 1; pp. 175 - 182
Main Author 霍颖莹 孔荫莹
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 2014
School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China%School of Mathematics and Computational Science, Guangdong University of Business Studies,Guangzhou 510320, China
Subjects
30D30
30D35
Dirichlet problem
Dirichlet series
Dirichlet级数
Entire functions
Mathematical analysis
order
slow growth
type
半平面
大模数
广义
整函数
类型
订单
30D30
Dirichlet series
slow growth
type
30D35
order
Online AccessGet full text
ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(13)60134-4

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Summary:In the paper, generalized orders and generalized types of Dirichlet series in the right half-plane are given. Some interesting relationships on maximum modulus, the maximum term and the coefficients of entire function defined by Dirichlet series of in the right half-plane are obtained.
Bibliography:Yingying HUO School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China Yinying KONG School of Mathematics and Computational Science, Guangdong University of Business Studies
42-1227/O
Dirichlet series; order; type; slow growth
In the paper, generalized orders and generalized types of Dirichlet series in the right half-plane are given. Some interesting relationships on maximum modulus, the maximum term and the coefficients of entire function defined by Dirichlet series of in the right half-plane are obtained.
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(13)60134-4