| 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. |
| 关键词: Lapalace-Stieltjes 变换 增长性 零级 对数级 |
| DOI： |
| 分类号:O174.52 |
| 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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| ON THE LOGARITHMIC ORDER OF LAPLACE-STIELTJES TRANSFORMATIONS CONVERGENT IN THE RIGHT HALF-PLANE |
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LU Wan-chun1, YI Cai-feng2, PENG You-hua1
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1.Department of Mathematics, Pingxiang University, Pingxiang 337055, China;2.School of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330027, 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. |
| Key words: Laplace-Stieltjes transform growth zero order logarithmic order |
