| 邓冠铁,李真.给定零点的指数型整函数Ⅱ[J].数学年刊A辑,2011,32(4):423~434 |
| 给定零点的指数型整函数Ⅱ |
| Entire Functions of Exponential Type with Given Zeros II |
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| DOI： |
| 中文关键词: 整函数 指数型 增长性 零点 |
| 英文关键词:Entire functions Exponential type Growth Zeros |
| 基金项目:国家自然科学基金(No11071020); 高等学校博士学科点专项科研基金(No20100003110004)资助的项目 |
| Author Name | Affiliation | E-mail | | DENG Guantie | School of Mathematical Sciences,Key Laboratory of Mathematics and Complex Systems of Ministry of Education,Beijing Normal University,Beijing 100875,China. | denggt@bnu.edu.cn | | LI Zhen | School of Mathematical Sciences, Key Laboratory of
Mathematics and Complex Systems of Ministry of Education, Beijing Normal University,
Beijing 100875, China
School of Mathematics and Computational Science, Guangdong University of Business
Studies, Guangzhou 510320, China. | lee1984@mail.bnu.edu.cn |
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| 中文摘要: |
| 研究了如下问题: 给定右半平面一复数列, 以该复数列为零点的指数型整函数在虚轴上的增长性有什么表现? 并给出了完整的解答.
这是对 Malliavin和 Rubel关于给定右半平面一复数列为零点的指数型整函数性质的研究工作的一个推广. |
| 英文摘要: |
| The authors study the following problem: if the zeros of an entire function of exponential type are known to
include a given sequence of complex numbers in the right half-plane,
what can be said about the growth of the function on the
imaginary axis? A complete solution of the problem is given. The result is a generalization of the work of Malliavin and Rubel. |
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