Acta mathematica scientia,Series B ›› 2020, Vol. 40 ›› Issue (4): 1141-1151.doi: 10.1007/s10473-020-0418-9

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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).

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

CLC Number: 

  • 30D30
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