| 有限级Dirichlet级数及随机Dirichlet级数 |
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| 引用本文： | 陈聚峰,刘名生.有限级Dirichlet级数及随机Dirichlet级数[J].数学物理学报(A辑),2005,25(7):965-973. |
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| 作者姓名： | 陈聚峰 刘名生 |
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| 作者单位： | 石家庄铁道学院数理系 石家庄 |050043
华南师范大学数学系 广州 |510631 |
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| 基金项目： | 国家自然科学基金(10471048)资助 |
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| 摘 要： | 本文研究了全平面上有限级Dirichlet级数的增长性和正规增长性,得到了两个充要条件;证明了有限级随机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.
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| 关 键 词： | Dirichlet级数 随机Dirichlet级数 型函数 精确级 增长性 |
The |Dirichlet Series and Random Dirichlet Series of Finite Order |
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| CHEN Ju-Feng,LIU Ming-Sheng.The |Dirichlet Series and Random Dirichlet Series of Finite Order[J].Acta Mathematica Scientia,2005,25(7):965-973. |
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| Authors: | CHEN Ju-Feng LIU Ming-Sheng |
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| Abstract: | In this paper, the authors first study the growth and regular growth of Dirichlet series of finite order in the plane and obtain two necessary and sufficient conditions; and then prove that the growth of random entire functions defined by random Dirichlet series of finite order in any horizontal
straight line is almost surely equal to the growth of entire functions defined by their corresponding Dirichlet series. |
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| Keywords: | Dirichlet serieszz Random Dirichlet serieszz Type functionzz Proximate orderzz Growthzz |
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