| 摘要: |
| 本文研究了半平面内无穷级Dirichlet级数的正规增长性问题.利用型函数的方法,获得了关于无穷X级的正规增长性的几个等价定理,推广了已有的结果. |
| 关键词: Dirichlet级数 无限级 正规增长性 |
| DOI： |
| 分类号:O174.55 |
| 基金项目:国家自然科学基金资助(11171170;61202313);江西省自然科学基金资助(2010GQS0119;2010GQS0103;20122BAB201016). |
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| THE REGULAR GROWTH OF DIRICHLET SERIES OF INFINITE ORDER IN THE HALF PLANE |
|
XU Hong-yan1,2, YI Cai-feng3
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1.Department of Informatics and Engineering;2.Jingdezhen Ceramic Institute, Jingdezhen 333403, China;3.Institute of Mathematics and informatics, Jiangxi Normal University, Nanchang 330022, China
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| Abstract: |
| The purpose of this paper is to study the regular growth of Dirichlet series of infinite order in the half-plane. By using the type function, we obtained some equivalence results about the regular growth of Dirichlet series with infinite X-order, which extend the known results. |
| Key words: Dirichlet series infinite order regular growth |
