数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (1): 133-139.doi: 10.1016/S0252-9602(14)60146-6

• 论文 • 上一篇    下一篇

ON THE GENERALIZED ORDER OF DIRICHLET SERIES

霍颖莹|孔荫莹   

  1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China School of Mathematics and Statistics, Guangdong University of Finance and Economics,
    Guangzhou 510320, China
  • 收稿日期:2013-12-17 修回日期:2014-04-26 出版日期:2015-01-20 发布日期:2015-01-20
  • 基金资助:

    The research is supported by the National Natural Science Foundation of China (11101096), the National Natural Science Foundation of China (11201083), the National Natural Science Foundation of China (11301140) and the Guangdong Natural Science Foundation (S2012010010376).

ON THE GENERALIZED ORDER OF DIRICHLET SERIES

HUO YingYing, KONG YinYing   

  1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China School of Mathematics and Statistics, Guangdong University of Finance and Economics,
    Guangzhou 510320, China
  • Received:2013-12-17 Revised:2014-04-26 Online:2015-01-20 Published:2015-01-20
  • Supported by:

    The research is supported by the National Natural Science Foundation of China (11101096), the National Natural Science Foundation of China (11201083), the National Natural Science Foundation of China (11301140) and the Guangdong Natural Science Foundation (S2012010010376).

摘要:

By the method of Knopp-Kojima, the generalized order of Dirichlet series is studied and some interesting relations on the maximum modulus, the maximum term and the coefficients of entire function defined by Dirichlet series of slow growth are obtained, which briefly extends some results of paper [1].

关键词: Dirichlet series, generalized order, maximum modulus, maximum term

Abstract:

By the method of Knopp-Kojima, the generalized order of Dirichlet series is studied and some interesting relations on the maximum modulus, the maximum term and the coefficients of entire function defined by Dirichlet series of slow growth are obtained, which briefly extends some results of paper [1].

Key words: Dirichlet series, generalized order, maximum modulus, maximum term

中图分类号: 

  • 30D30