| B-值随机Dirichlet级数表示整函数的增长性 |
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| 引用本文： | 王志刚,李承耕. B-值随机Dirichlet级数表示整函数的增长性[J]. 海南大学学报(自然科学版), 2005, 23(2): 101-104 |
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| 作者姓名： | 王志刚 李承耕 |
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| 作者单位： | 1. 海南大学,信息科学技术学院,海南,海口,570228
2. 韩山师范学院,数学与信息技术学院,广东,潮州,521041 |
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| 基金项目： | 国家自然科学基金资助项目(201160132) |
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| 摘 要： | 系统地研究了全平面收敛的B-值随机Dirichlet级数的增长性,得到了在一定条件下B-值随机Dirichlet级数在收敛平面上的增长(下)级几乎处处等于某Dirichlet级数增长(下)级,以及它与指数和系数的关系式.
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| 关 键 词： | B-值Dirichlet级数 B-值随机Dirichlet级数 增长(下)级 |
| 文章编号： | 1004-1729(2005)02-0101-04 |
| 修稿时间： | 2004-11-15 |
The Growth of Entire Function Represented by B-valued Random Dirichlet Series |
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| WANG Zhi-gang,LI Cheng-gen. The Growth of Entire Function Represented by B-valued Random Dirichlet Series[J]. Natural Science Journal of Hainan University, 2005, 23(2): 101-104 |
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| Authors: | WANG Zhi-gang LI Cheng-gen |
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| Affiliation: | WANG Zhi-gang~1,LI Cheng-gen~2 |
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| Abstract: | The growth of entire funtion represented by the B-valued random Dirichlet series converging on the whole plane is systematically studied.Under certain conditions, the growth(lower)order of B-valued random Dirichlet series on the converging plane is almost equal to the growth(lower) order of some Dirichlet series everywhere, and its relations with the exponents and the coefficients of this series are obtained. |
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| Keywords: | B-valued Dirichlet series B-valued random Dirichlet series growth(lower)order |
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