| Dirichlet级数的广义级 |
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| 引用本文： | 陈青远,霍颖莹.Dirichlet级数的广义级[J].广东工业大学学报,2019,36(4):52-58. |
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| 作者姓名： | 陈青远 霍颖莹 |
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| 作者单位： | 广东工业大学 应用数学学院,广东 广州,510520;广东工业大学 应用数学学院,广东 广州,510520 |
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| 基金项目： | 国家自然科学基金资助项目（11501127） |
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| 摘 要： | 研究了全平面上Dirichlet级数的广义级.采用Knopp-Kojima方法得到了关于Dirichlet级数的最大模和系数增长关系的结果，并在较弱的条件下将上述结果转化为Dirichlet级数的系数及其广义级的关系.
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| 关 键 词： | Dirichlet级数 广义级 慢增长 |
| 收稿时间： | 2018-10-29 |
The Generalized Order of Dirichlet Series |
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| Chen Qing-yuan,Huo Ying-ying.The Generalized Order of Dirichlet Series[J].Journal of Guangdong University of Technology,2019,36(4):52-58. |
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| Authors: | Chen Qing-yuan Huo Ying-ying |
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| Affiliation: | School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China |
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| Abstract: | The generalized order of Dirichlet series on the whole plane is studied. The Knopp-Kojima method is used to obtain the results of the growth relationship between the maximum modulus and the coefficients of Dirichlet series, and the above results are transformed into the relation between the coefficients of Dirichlet series and its generalized order under weak conditions. |
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| Keywords: | Dirichlet series generalized order slow growth |
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