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半平面内无限级Dirichlet级数的正规增长性
引用本文:徐洪焱,易才凤.半平面内无限级Dirichlet级数的正规增长性[J].数学杂志,2014,34(5):916-924.
作者姓名:徐洪焱  易才凤
作者单位:景德镇陶瓷学院信息工程学院;江西师范大学数信学院;
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)
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
收稿时间:2012/9/4 0:00:00
修稿时间:2013/1/18 0:00:00

THE REGULAR GROWTH OF DIRICHLET SERIES OF INFINITE ORDER IN THE HALF PLANE
XU Hong-yan and YI Cai-feng.THE REGULAR GROWTH OF DIRICHLET SERIES OF INFINITE ORDER IN THE HALF PLANE[J].Journal of Mathematics,2014,34(5):916-924.
Authors:XU Hong-yan and YI Cai-feng
Institution:Department of Informatics and Engineering;Jingdezhen Ceramic Institute, Jingdezhen 333403, China and Institute of Mathematics and informatics, Jiangxi Normal University, Nanchang 330022, China
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.
Keywords:Dirichlet series  infinite order  regular growth
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