ON THE GENERALIZED ORDER OF DIRICHLET SERIES

被引：1

作者：

霍颖莹 ^{[1
]}

孔荫莹 ^{[2
]}

机构：

[1] School of Applied Mathematics, Guangdong University of Technology

[2] School of Mathematics and Statistics, Guangdong University of Finance and Economics

来源：

Acta Mathematica Scientia(English Series) | 2015年 / 35卷 / 01期

关键词：

Dirichlet series; generalized order; maximum modulus; maximum term;

D O I：

暂无

中图分类号：

O173 [无穷级数论（级数论）];

学科分类号：

0701 ; 070101 ;

摘要：

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].

引用

页码：133 / 139

页数：7

共 8 条

[1]

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[2] 慢增长的随机Dirichlet级数 [J].

孔荫莹 ;

霍颖莹 .

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[3]

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[4] Dirichlet-Hadamard乘积的q-级和q-型 [J].

孔荫莹 .

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[5]

THE PITS PROPERTY OF ENTIRE FUNCTIONS DEFINED BY DIRICHLET SERIES[J]. 尚丽娜,高宗升. Acta Mathematica Scientia. 2009(01)

[6] Julia lines of general random dirichlet series [J].

Jin, Qiyu ;

Deng, Guantie ;

Sun, Daochun .

CZECHOSLOVAK MATHEMATICAL JOURNAL, 2012, 62 (04) :919-936

[7]

Entire functions defined by Dirichlet series[J] . Lina Shang,Zongsheng Gao. Journal of Mathematical Analysis and Applications . 2007 (2)

[8]

über die Konvergenzabszisse des Laplace-Integrals[J] . Konrad Knopp. Mathematische Zeitschrift . 1951 (3)

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