ON THE GENERALIZED ORDER OF DIRICHLET SERIES

By the method of Knopp-Kojima, the generalized order of Dirichlet series is studied and some interesting relations on the maximum modulus, the maximum term and the coefficients of entire function defined by Dirichlet series of slow growth are obtained, which briefly extends some results of paper [1]...

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Bibliographic Details
Published inActa mathematica scientia Vol. 35; no. 1; pp. 133 - 139
Main Author 霍颖莹 孔荫莹
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 2015
School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China%School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320, China
Subjects
30D30
30D35
Dirichlet problem
Dirichlet series
Dirichlet级数
Entire functions
generalized order
Mathematical analysis
maximum modulus
maximum term
大模数
广义
整函数
maximum term
30D30
generalized order
Dirichlet series
30D35
maximum modulus
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ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(14)60146-6

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Summary:By the method of Knopp-Kojima, the generalized order of Dirichlet series is studied and some interesting relations on the maximum modulus, the maximum term and the coefficients of entire function defined by Dirichlet series of slow growth are obtained, which briefly extends some results of paper [1].
Bibliography:Dirichlet series; generalized order; maximum modulus; maximum term
42-1227/O
By the method of Knopp-Kojima, the generalized order of Dirichlet series is studied and some interesting relations on the maximum modulus, the maximum term and the coefficients of entire function defined by Dirichlet series of slow growth are obtained, which briefly extends some results of paper [1].
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(14)60146-6