| 慢增长Laplace-Stieltjes变换的β-级和下β-级 |
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| 引用本文： | 陆万春,陈楠楠.慢增长Laplace-Stieltjes变换的β-级和下β-级[J].江西师范大学学报(自然科学版),2020,44(6):594-598. |
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| 作者姓名： | 陆万春 陈楠楠 |
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| 作者单位： | 萍乡学院工程与管理学院,江西 萍乡 337055 |
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| 基金项目： | 科技计划;国家自然科学基金;江西省教育厅科技项目 |
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| 摘 要： | 通过定义β-级,研究了在右半平面上收敛的慢增长Laplace-Stieltjes变换的β-级及下β-级,得到右半平面收敛的慢增长Laplace-Stieltjes变换的β-级、下β-级以及β-正规增长的系数特征,推广了Laplace-Stieltjes变换及Dirichlet级数的相关结果.
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| 关 键 词： | Laplace-Stieltjes变换 零级 β-级 下β-级 |
The β-Order and Lower β-Order of Laplace-Stieltjes Transform of Slow Growth |
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| LU Wanchun,CHEN Nannan.The β-Order and Lower β-Order of Laplace-Stieltjes Transform of Slow Growth[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2020,44(6):594-598. |
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| Authors: | LU Wanchun CHEN Nannan |
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| Institution: | College of Engineering and Management,Pingxiang University,Pingxiang Jiangxi 337055,China |
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| Abstract: | The β-order and lower β-order of analytic functions defined by zero order Laplace-Stieltjes transformation converging in right plane are studied.The characterizations of β-order,lower β-order and regular β-order of analytic functions of slow growth are obtained,which improve several previous results and extends some results of Dirichlet series. |
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| Keywords: | Laplace-Stieltjes transform zero order β-order lower β-order |
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