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| 半平面上有限级随机Dirichlet级数的增长性 | |
| 引用本文： | 陈聚峰,张静,宋亚欣. 半平面上有限级随机Dirichlet级数的增长性[J]. 石家庄铁道学院学报, 2007, 20(3): 50-53,57 |
| 作者姓名： | 陈聚峰 张静 宋亚欣 |
| 作者单位： | [1]石家庄铁道学院数理系,河北石家庄050043 [2]石家庄邮电职业技术学院基础部,河北石家庄050021 [3]河北艺术职业学院基础部,河北石家庄050011 |
| 摘 要： | 证明了右半平面上有限级随机Dirichlet级数的增长性几乎必然与其在每条水平直线上的增长性相同。 |
| 关 键 词： | 随机Dirichlet级数 型函数 精确级 增长性 |
| 文章编号： | 1674-0300（2007）03-0050-05 |
| 收稿时间： | 2007-06-14 |
| 修稿时间： | 2007-06-14 |
Growth of Random Dirichlet Series of Finite Order in Half Plane |
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| Chen Jufeng,Zhang Jing,Song Yaxin. Growth of Random Dirichlet Series of Finite Order in Half Plane[J]. Journal of Shijiazhuang Railway Institute, 2007, 20(3): 50-53,57 | |
| Authors: | Chen Jufeng Zhang Jing Song Yaxin |
| Affiliation: | 1. Department of Mathematics and Physics, Shijiazhuang Railway Institute, Shijiazhuang 050043, China; 2. Department of Basic Courses, Shijiazhuang Vocational College of Post and Telecom, Shijiazhuang 050021, China; 3. Department of Basic Courses, Hebei Vocational Art College, Shijiazhuang 050011, China |
| Abstract: | In this paper, we prove that the growth of random functions defined by random Dirichlet series of finite order in every horizontal straight line is almost surely equal to the growth of functions defined by their corresponding Dirichlet series in the right half-plane. |
| Keywords: | random Dirichlet series type function proximate order growth |
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