| 半平面上有限级Dirichlet级数的逼近 |
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| 引用本文： | 徐洪焱,易才凤.半平面上有限级Dirichlet级数的逼近[J].数学学报,2010,53(3):617-624. |
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| 作者姓名： | 徐洪焱 易才凤 |
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| 作者单位： | 景德镇陶瓷学院信息学院;江西师范大学数信学院; |
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| 基金项目： | 国家自然科学基金资助项目(10871108); 景德镇陶瓷学院科研资助项目 |
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| 摘 要： | 主要讨论用Dirichlet多项式去逼近半平面上有限级的Dirichlet级数时产生的误差与原Dirichlet级数的增长级,精确级与型函数之间的联系,得到一些有趣的结果.
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| 关 键 词： | Dirichlet级数 有限级 半平面 |
| 收稿时间： | 2009-05-21 |
| 修稿时间： | 2009-12-22 |
The Approximation Problem of Dirichlet Series of Finite Order in the Half Plane |
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| Hong Yan XU.The Approximation Problem of Dirichlet Series of Finite Order in the Half Plane[J].Acta Mathematica Sinica,2010,53(3):617-624. |
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| Authors: | Hong Yan XU |
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| Institution: | 1. Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, P. R. China;
2. Institute of Mathematics and informatics, Jiangxi Normal University, Nanchang 330027, P. R. China |
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| Abstract: | In this paper,the error in approximating Dirichlet series of finite order in the half plane by Dirichlet polynomials is studied and some relation between the error and the order,the proximate order and the type function of Dirichlet series is obtained. |
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| Keywords: | Dirichlet series finite order half plane |
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