| 平面上零级Dirichlet级数和随机Dirichlet级数的上下级 |
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| 引用本文： | 曹月波,杨祺,田宏根.平面上零级Dirichlet级数和随机Dirichlet级数的上下级[J].数学杂志,2011,31(5):945-951. |
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| 作者姓名： | 曹月波 杨祺 田宏根 |
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| 作者单位： | 1. 石河子大学师范学院,新疆石河子,832003
2. 新疆师范大学数理信息学院,新疆乌鲁木齐,830054 |
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| 基金项目： | 新疆师范大学优秀青年教师科研启动基金资助(XJNU0816); 石河子大学高层次人才科研启动资金专项(RCZX200733) |
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| 摘 要： | 本文对平面上的零级Dirichlet级数和随机Dirichlet级数的上下级进行了研究.利用Newton多边形,在一定条件下得到了Dirichlet级数和随机Dirichlet级数的上下级与其系数的重要关系.推广了平面上的零级Dirichlet级数和随机Dirichlet级数的增长性的研究范围.
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| 关 键 词： | Dirichlet级数 增长性 零级 型函数 下级 |
THE ORDER AND THE LOWER ORDER OF DIRICHLET SERIES OF ZERO-ORDER ON THE PLANE |
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| CAO Yue-bo,YANG Qi,TIAN Hong-gen.THE ORDER AND THE LOWER ORDER OF DIRICHLET SERIES OF ZERO-ORDER ON THE PLANE[J].Journal of Mathematics,2011,31(5):945-951. |
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| Authors: | CAO Yue-bo YANG Qi TIAN Hong-gen |
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| Institution: | CAO Yue-bo 1,YANG Qi 2,TIAN Hong-gen 2 (1.Teachers College University,Shihezi University,Shihezi 832003,China) (2.College of Mathematics Sciences,Xinjiang Normal University,Urumqi 830054,China) |
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| Abstract: | In this paper,the order and lower-order of the Dirichlet series and random Dirichlet series on the plane are studied using Newton polygon.The important relations between the order,lower order and its coefficients are obtained at some certain conditions.The research scope of the growth of the Dirichlet series and random Dirichlet series on the plane is promoted. |
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| Keywords: | Dirichlet series growth zero-order type-function lower-order |
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