| 在全平面上解析的Laplace-Stieltjes变换的正规增长性 |
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| 引用本文： | 罗茜,刘兴臻,孔荫莹.在全平面上解析的Laplace-Stieltjes变换的正规增长性[J].数学杂志,2014,34(6):1181-1186. |
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| 作者姓名： | 罗茜 刘兴臻 孔荫莹 |
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| 作者单位： | 广东嘉应学院数学学院;广州大学数学与信息科学学院;广东财经大学数学与计算科学学院; |
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| 基金项目： | 国家自然科学基金青年项目(11101096);广东省自然科学基金项目资助(S2012010010376) |
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| 摘 要： | 本文研究了应用Knopp-Kojima的方法得到的Dirichlet级数正规增长性.利用Dirichlet级数和Laplace-Stieltjes变换的关系,得到了Laplace-Stieltjes变换在全平面上的正规增长级的等价条件.
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| 关 键 词： | Laplace-Stieltjes变换 级 正规增长性 |
| 收稿时间： | 2012/12/14 0:00:00 |
| 修稿时间： | 2013/2/22 0:00:00 |
THE REGULAR GROWTH OF LAPLACE-STIELTJES TRANSFORMS |
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| LUO Xi,LIU Xing-zhen and KONG Yin-ying.THE REGULAR GROWTH OF LAPLACE-STIELTJES TRANSFORMS[J].Journal of Mathematics,2014,34(6):1181-1186. |
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| Authors: | LUO Xi LIU Xing-zhen and KONG Yin-ying |
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| Institution: | School of Mathematics, Jiaying University, Meizhou 514015, China,School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China |
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| Abstract: | In the paper, we study the relationships between Dirichlet series and Laplace-Stieltjes transforms, some results about regular growth of Dirichlet series, which are obtained by the method of Knopp-Kojima. By using Dirichlet series and Laplace-Stieltjes transforms, the equivalent conditions of the regular growth order on the whole plane are obtained, and the results about regular growth of Dirichlet series are generalized. |
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| Keywords: | L-S transforms order regular growth |
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