| 缺项广义Dirichlet级数所表示的整函数的增长性 |
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| 引用本文： | 宁菊红,邓冠铁. 缺项广义Dirichlet级数所表示的整函数的增长性[J]. 数学研究及应用, 2006, 26(3): 509-516 |
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| 作者姓名： | 宁菊红 邓冠铁 |
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| 作者单位： | 1. 北京师范大学数学科学学院,北京,100875;江西师范大学数学与信息科学学院,江西,南昌,330022
2. 北京师范大学数学科学学院,北京,100875 |
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| 基金项目： | 国家自然科学基金(10071005) |
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| 摘 要： | 对于有限级广义Dirichlet级数所表示的整函数f(s),引进级ρ_R,型■_R,分别讨论它们与在水平直线上的级ρ_L,型■_L之间的关系．应用于,Taylor级数时,有类似结果．
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| 关 键 词： | 整函数 Dirichlet级数 增长性 |
| 文章编号： | 1000-341X(2006)03-0509-08 |
| 收稿时间： | 2004-09-06 |
| 修稿时间： | 2005-08-14 |
The Growth of an Entire Function Represented by Lacunary and Generalized Dirichlet Series |
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| NING Ju-hong and DENG Guan-tie. The Growth of an Entire Function Represented by Lacunary and Generalized Dirichlet Series[J]. Journal of Mathematical Research with Applications, 2006, 26(3): 509-516 |
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| Authors: | NING Ju-hong and DENG Guan-tie |
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| Affiliation: | School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China; The Institute of Mathematics and Information, Jiangxi Normal University, Nanchang 330022, China;School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China |
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| Abstract: | For an entire function represented by finite order and generalized dirichlet series, we introduce order $rho_R$ (type $tau_R$ ) and study the relation between order $rho_R$ (type $tau_R$ ) and order $rho_L$ (type $tau_L$ ) in any horizontal line respectively. Applying to Taylor series, we can get analogous results. |
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| Keywords: | entire function Dirichlet series growth. |
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