| Laplace-Stieltjes变换所确定的整函数的对数级 |
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| 引用本文： | 陆万春,易才凤,漆勇方.Laplace-Stieltjes变换所确定的整函数的对数级[J].数学的实践与认识,2014(19). |
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| 作者姓名： | 陆万春 易才凤 漆勇方 |
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| 作者单位： | 萍乡学院数学系;江西师范大学数学与信息科学学院; |
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| 基金项目： | 江西省教育厅科技项目基金资助(GJJ13788) |
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| 摘 要： | 研究了全平面上收敛的零级Laplce-Stieltjes变换的增长性问题,通过定义对数级和对数下级,得到了零级Laplace-Stieltjes变换具有对数级和对数下级的特征性质,推广了Dirichlet级数相关结果.
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| 关 键 词： | Lapalace-Stieltjes变换 整函数 零级 对数级 |
On the Logarithmic Order of Entire Functions Defined by Laplace-Stieltjes Transformations |
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| Abstract: | In this paper,the growth of entire functions defined by Laplace-Stieltjes transformations of zero order is investigated.By using the definition of logarithmic order and lower logarithmic order,the relations between logarithmic order and lower logarithmic order and"coefficients" of the transformations is obtained.Some results of Dirichlet series are improved. |
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| Keywords: | Laplace-Stieltjes transformation entire functions zero order logarithmic order |
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