数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (4): 1141-1151.doi: 10.1007/s10473-020-0418-9

• 论文 • 上一篇    下一篇

THE GENERALIZED LOWER ORDER OF DIRICHLET SERIES

陈青远, 霍颖莹   

  1. School of Mathematics, Guangdong University of Technology, Guangzhou 510006, China
  • 收稿日期:2019-03-05 修回日期:2019-09-10 出版日期:2020-08-25 发布日期:2020-08-21
  • 通讯作者: Yingying HUO E-mail:huoyingy@gdut.edu.cn
  • 作者简介:Qingyuan CHEN,E-mail:384295479@qq.com
  • 基金资助:
    Research was supported by the National Natural Science Foundation of China (11501127) and Natural Science Foundation of Guangdong Province (2018A030313954).

THE GENERALIZED LOWER ORDER OF DIRICHLET SERIES

Qingyuan CHEN, Yingying HUO   

  1. School of Mathematics, Guangdong University of Technology, Guangzhou 510006, China
  • Received:2019-03-05 Revised:2019-09-10 Online:2020-08-25 Published:2020-08-21
  • Contact: Yingying HUO E-mail:huoyingy@gdut.edu.cn
  • Supported by:
    Research was supported by the National Natural Science Foundation of China (11501127) and Natural Science Foundation of Guangdong Province (2018A030313954).

摘要: In this paper, we study the generalized lower order of entire functions defined by Dirichlet series. By constructing the Newton polygon based on Knopp-Kojima's formula, we obtain a relation between the coefficients of the Dirichlet series and its generalized lower order.

关键词: Dirichlet series, Knopp-Kojima method, Newton polygon, generalized lower order

Abstract: In this paper, we study the generalized lower order of entire functions defined by Dirichlet series. By constructing the Newton polygon based on Knopp-Kojima's formula, we obtain a relation between the coefficients of the Dirichlet series and its generalized lower order.

Key words: Dirichlet series, Knopp-Kojima method, Newton polygon, generalized lower order

中图分类号: 

  • 30D30