| 无限级超Dirichlet级数表示的整函数 |
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| 引用本文： | 刘敏,黄文平,胡丹,宁菊红. 无限级超Dirichlet级数表示的整函数[J]. 江西科学, 2011, 29(4): 442-444 |
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| 作者姓名： | 刘敏 黄文平 胡丹 宁菊红 |
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| 作者单位： | 1. 江西师范大学数学与信息科学学院,江西南昌,330022
2. 南昌陆军学院科文教研室,江西南昌,330103 |
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| 基金项目： | 江西省自然科学基金,江西师范大学研究生创新基金 |
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| 摘 要： | 对一个系数满足一给定增长条件且在一固定水平带形有界,恒不为零的具有无限级超D irichlet级数表示的整函数的存在性,给出了充要条件。
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| 关 键 词： | 整函数 无限级超Dirichlet级数 |
Entire Functions Represented by Hyper Dirichlet Series of Infinite Order |
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| LIU Min,HUANG Wen-ping,HU Dan,NING Ju-hong. Entire Functions Represented by Hyper Dirichlet Series of Infinite Order[J]. Jiangxi Science, 2011, 29(4): 442-444 |
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| Authors: | LIU Min HUANG Wen-ping HU Dan NING Ju-hong |
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| Affiliation: | 1. College of Mathematics and Information Science,Jiangxi Normal University ,Jiangxi Nanchang 330022 PRC; 2. Nanchang Military Academy,Jiangxi Nanchang 330103 PRC) |
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| Abstract: | The necessary and sufficient conditions are given for the existence of an entire functions whose coefficients are dominated by an appropriate function, being not identically to zero, bounded in a horizontal strip and to be able represented by Hyper Dirichlet Series of Infinite Order. |
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| Keywords: | Entire function Hyper Dirichlet series of infinite order |
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