| 右半平面上解析的Laplace-Stieltjes变换对数级 |
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| 引用本文： | 陆万春,易才凤,彭友花. 右半平面上解析的Laplace-Stieltjes变换对数级[J]. 数学杂志, 2016, 36(3): 559-565 |
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| 作者姓名： | 陆万春 易才凤 彭友花 |
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| 作者单位： | 萍乡学院数学系, 江西 萍乡 337055,江西师范大学数学与信息科学学院, 江西 南昌 330027,萍乡学院数学系, 江西 萍乡 337055 |
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| 基金项目： | 国家自然科学基金资助(11171170);江西省教育厅科技项目基金资助(GJJ13788). |
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| 摘 要： | 本文研究了零级Laplace-Stieltjes变换的增长性问题.利用对数级和对数下级的定义,获得了这类变换具有对数级的特征,即变换的对数级和对数下级与其系数之间的关系,推广了Dirichlet级数的相关结果.
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| 关 键 词： | Lapalace-Stieltjes 变换 增长性 零级 对数级 |
| 收稿时间： | 2013-01-21 |
| 修稿时间： | 2013-06-25 |
ON THE LOGARITHMIC ORDER OF LAPLACE-STIELTJES TRANSFORMATIONS CONVERGENT IN THE RIGHT HALF-PLANE |
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| LU Wan-chun,YI Cai-feng and PENG You-hua. ON THE LOGARITHMIC ORDER OF LAPLACE-STIELTJES TRANSFORMATIONS CONVERGENT IN THE RIGHT HALF-PLANE[J]. Journal of Mathematics, 2016, 36(3): 559-565 |
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| Authors: | LU Wan-chun YI Cai-feng PENG You-hua |
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| Affiliation: | Department of Mathematics, Pingxiang University, Pingxiang 337055, China,School of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330027, China and Department of Mathematics, Pingxiang University, Pingxiang 337055, China |
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| Abstract: | In this paper, the growth of the Laplace-Stieltjes transforms of zero order convergent in right half-plane is investigated. By using the deflnition of logarithmic order and lower logarithmic order, the relations between logarithmic order and lower logarithmic order and "coe-cients" of the transformations is obtained. Some results of Dirichlet series are improved. |
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| Keywords: | Laplace-Stieltjes transform growth zero order logarithmic order |
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