右半平面上Dirichlet级数的p-级准确型

doi:10.6040/j.issn.1671-9352.0.2015.138

山东大学学报（理学版） ›› 2016, Vol. 51 ›› Issue (2): 58-63.doi: 10.6040/j.issn.1671-9352.0.2015.138

右半平面上Dirichlet级数的p-级准确型

吴世玕

江西理工大学理学院, 江西赣州 341000

收稿日期:2015-03-30 出版日期:2016-02-16 发布日期:2016-03-11
作者简介:吴世玕(1964— ),男,硕士,副教授,研究方向为单复变函数研究.E-mail:wusg64@163.com
基金资助:
国家自然科学基金资助项目(61364015)

Type of dirichlet series on p-precise order in right half plane

WU Shi-gan

Faculty of Science, Jiangxi University of Science and Technology, Ganzhou 341000, Jiangxi, China

Received:2015-03-30 Online:2016-02-16 Published:2016-03-11

摘要/Abstract

摘要： 讨论了右半平面上Dirichlet级数所表示的全纯函数关于p-准确级的型、下型与系数和指数的关系。

关键词: 随机Dirichlet级数, 型函数, 准确级, Dirichlet级数

Abstract: Discusses the relationship between the type(lower type)of holomorphic function represented by Dirichlet series and random Dirichlet series on p-precise order in right half plane with coefficient and index.

Key words: type function, precise order, random Dirichlet series, Dirichlet series

中图分类号:

O174.5

吴世玕. 右半平面上Dirichlet级数的p-级准确型[J]. 山东大学学报（理学版）, 2016, 51(2): 58-63.

WU Shi-gan. Type of dirichlet series on p-precise order in right half plane[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(2): 58-63.

参考文献

[1] 高宗升.Dirichlet 级数表示的整函数的增长性[J].数学学报,1999,42(4):741-748. GAO Zongsheng. The growth of entire functions represented by dirichlet series [J]. Acat Mathematica Sinica, 1999, 42(4):741-748.
[2] ZHANG Xuelian. The precise order and singular directions of meromorphic functions[J]. Journal of Beijing Institute of Technology, 1999, 6(1):14-18.
[3] KONG Yinying, SUN Daochun. On Type-function and the Growth of Laplace-Stieltjes transformations convergent in the right half-plane[J]. Advances in Mathematics, 2007, 37(2):197-205.
[4] 孙道椿,陈特为.无限级Dirichlet级数[J].数学学报,2001,44(2):259-268. SUN Daochun, CHEN Tewei. Random dirichlet series of infinite order[J]. Acat Mathematica Sinica, 2001, 44(2):259-268.
[5] 金其余,邓冠铁,郭晓晶.左半平面上的无限级Dirichlet级数的上下级[J].北京师范大学学报(自然科学版),2008,44(4):354-359. JIN Qiyu, DENG Guantie, GUO Xiaojing.The infinite order(R)of dirichlet series in the left-plan[J]. Journal of Beijing Normal University(Natural Science), 2008, 44(4):354-359.
[6] 贺隆贞. 关于狄里克莱级数确定的解析函数的P(R)级和P(R)型[J].数学杂志,1983,3(1):61-71. HE Longzhen.On the P(R)order and P(R)type of analytic functions defined by dirichlet series[J]. Journal of Mathematics, 1983, 3(1):61-71.
[7] 孔荫莹. Dirichlet-Hadamard乘积的q-级和q-型[J].数学学报,2009,52(6):1165-1172. KONG Yinying. On some q-orders and q-types of Dirichlet-Hadamard product function [J]. Acat Mathematica Sinica, 2009, 52(6):1165-1172.
[8] 许全华. Dirichlet级数所表示的整函数的(R)准确级的型[J].数学年刊,1986,7A(3):266-277. XU Quanhua. The types of proximate order(R)of an entire function represented by dirichlet series[J]. Chinese Annals of Mathematics,1986, 7A(3):266-277.
[9] 余家荣,丁晓庆,田范基. Dirichlet级数与随机Dirichlet级数的值分布[M].武汉:武汉大学出版社,2004. YU Jiarong, DING Xiaoqing, TIAN Fanji. The distribution of the values of dirichlet series and random dirichlet series[M].Wuhan: Wuhan University Press, 2004.
[10] 刘名生.半平面上有限级Dirichlet级数的正规增长[J].系统科学与数学,2002,22(2):229-238. Liu Mingsheng. The regular growth of dirichlet series of finite order in the half plan [J]. Journal of Systems Science and Mathematical Sciences, 2002, 22(2):229-238.
[11] 余家荣.随机Dirichlet级数的一些性质[J].数学学报,1978,21(2):97-118. YU Jiarong. Some properties of random dirichlet series[J]. Acat Mathematica Sinica, 1978, 21(2):97-118.
[12] 张洪申,杨永举.右半平面上的零级Dirichlet级数[J].西南师范大学学报(自然科学版),2012,37(12):24-27. ZHANG Hongshen, YANG Yongju. On dirichlet series of zero order on the right half plane [J]. Journal of Southwest China Normal University: Natural Science Edition, 2012, 37(12):24-27.

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed

右半平面上Dirichlet级数的p-级准确型

Type of dirichlet series on p-precise order in right half plane

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 2

多维度评价

本文评价

推荐阅读 0

[1]	宁多彪,牛宪华,黄平,王常远. 基于d-型函数的具有最优周期部分汉明相关的跳频序列[J]. 山东大学学报（理学版）, 2017, 52(5): 95-103.
[2]	魏洪彬. 自守L-函数系数在不同稀疏整数序列中的Ω结果[J]. 山东大学学报（理学版）, 2015, 50(12): 102-105.