| Laplace-Stieltjes变换所定义的整函数的(R)级准确级的型 |
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| 引用本文： | 陆万春,桂有良.Laplace-Stieltjes变换所定义的整函数的(R)级准确级的型[J].萍乡高等专科学校学报,2009,26(6):9-12. |
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| 作者姓名： | 陆万春 桂有良 |
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| 作者单位： | 1. 萍乡高等专科学校数学系,江西,萍乡,337000
2. 鹰潭市第一中学,江西,鹰潭,335000 |
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| 摘 要： | 研究了由Laplace-Stieltjes变换所定义的整函数的准确级的型,通过适当引入序列0<λ↑+∞,,建立了该变换的准确级的型与其系数及指数之间的关系,即该变换的准确级的型的充分必要条件,推广了Dirichelt级数的相关结果。
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| 关 键 词： | Laplace-Stieltjes变换 准确级 型 |
The type of proximate order of an entire function defined by Laplace-Stieltjes transform |
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| Lu Wanchun,Gui Youliang.The type of proximate order of an entire function defined by Laplace-Stieltjes transform[J].Journal of Pingxiang College,2009,26(6):9-12. |
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| Authors: | Lu Wanchun Gui Youliang |
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| Institution: | 1 Mathematics Department, Pingxiang College, Pingxiang 337000; 2 Yingtan No.1 High School, Yingtan 335000, China) |
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| Abstract: | It is studied that type of proximate order of an entire function defined by a Laplace-Stieltjes transform;we establish the relations between type of proximate order of the transform and ＂coefficients＂ and ＂esponent＂. It is sufficient and necessary conditions of type of proximate order, extending the corresponding results of Dirichlet series. |
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| Keywords: | Laplace-Stieltjes transform proximate order type |
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