| 涉及小函数的无限级随机Dirichlet级数 |
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| 引用本文： | 金其余,孔荫莹.涉及小函数的无限级随机Dirichlet级数[J].江西师范大学学报(自然科学版),2017,0(3):252-255. |
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| 作者姓名： | 金其余 孔荫莹 |
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| 作者单位： | 1.内蒙古大学数学科学学院,内蒙古 呼和浩特 010021; 2.广东财经大学统计与数学学院,广东 广州 510320 |
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| 摘 要： | 利用无穷级型函数对随机 Dirichlet 级数的值分布进行了研究,得出结论:在右半平面上的无限级随机Dirichlet 级数,几乎必然(a.s.)以虚轴上的每一点为没有有限例外小函数的强Borel点.此结论推广了Borel点的结果.
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| 关 键 词： | 随机Dirichlet 级数 小函数 强Borel点 |
The Random Dirichlet Series of Infinite Order Dealing with Small Function |
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| JIN Qiyu,KONG Yinying.The Random Dirichlet Series of Infinite Order Dealing with Small Function[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2017,0(3):252-255. |
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| Authors: | JIN Qiyu KONG Yinying |
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| Institution: | 1.School of Mathematical Science,Inner Mongolia University,Hohhot Neimonggu,010021,China; 2.School of Statistics and Mathematics,Guangdong University of Finance and Economics,Guangzhou Guangdong 510320,China |
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| Abstract: | The infinite order function is used to study the value distribution of the random Dirichlet series.It is concluded that for random Dirichlet series of infinite order in the right half plane,every point iy is almost surely a strong Borel point without finite exceptional small functions,which extended some results of Borel points. |
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| Keywords: | random Dirichlet series small functions strong Borel point |
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