| 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,2018,39(1):77~86 |
| Dirichlet级数及其Dirichlet-Hadamard 乘积的增长性 |
| The Growth of Dirichlet Series and Its Dirichlet-Hadamard Product |
| Received:May 10, 2015 Revised:February 11, 2017 |
| DOI：10.16205/j.cnki.cama.2018.0008 |
| 中文关键词: Dirichlet级数, $chi_{[q]}${-}型, 非正规增长性 |
| 英文关键词:Dirichlet series, $chi_{[q]}$-type, Regular growth |
| 基金项目: |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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