| Dirichlet级数及其Dirichlet-Hadamard 乘积的增长性 |
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| 引用本文： | 徐洪焱,孔荫莹,崔永琴.Dirichlet级数及其Dirichlet-Hadamard 乘积的增长性[J].数学年刊A辑(中文版),2018,39(1):77-86. |
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| 作者姓名： | 徐洪焱 孔荫莹 崔永琴 |
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| 作者单位： | 景德镇陶瓷大学信息工程学院;广东财经大学统计与数学学院 |
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| 摘 要： | 研究了一类Dirichlet级数关于q-级的增长性问题,并讨论了由两个Dirichlet级数组成的Dirichlet-Hadamard乘积的增长性,获得了Dirichlet-Hadamard乘积与原级数在增长性方面的几个关系.
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| 关 键 词： | Dirichlet级数 $chi_{[q]}${-}型 非正规增长性 |
| 收稿时间： | 2015/5/10 0:00:00 |
| 修稿时间： | 2017/2/11 0:00:00 |
The Growth of Dirichlet Series and Its Dirichlet-Hadamard Product |
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| XU Hongy,KONG Yinyi and CUI Yongq.The Growth of Dirichlet Series and Its Dirichlet-Hadamard Product[J].Chinese Annals of Mathematics,2018,39(1):77-86. |
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| Authors: | XU Hongy KONG Yinyi and CUI Yongq |
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| Institution: | Department of Informatics and Engineering;
Jingdezhen Ceramic Institute, Jingdezhen 333403, Jiangxi, China.,Corresponding author. School of Statistics and Mathematics,
Guangdong University of Finance and Economics, Guangzhou 510320, China. and Department of Informatics and Engineering;
Jingdezhen Ceramic Institute, Jingdezhen 333403, Jiangxi, China. |
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| Abstract: | The purpose of this paper is to study the growth of Dirichlet series with
finite $q$-order in the whole plane.
The authors also investigate the growth of the Dirichlet-Hadamard product of Dirichlet series, and
obtain some relationships about the growth between Dirichlet series and its
Dirichlet-Hadamard product. |
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| Keywords: | Dirichlet series $chi_{[q]}$-type Regular growth |
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