Journal of Guangdong University of Technology ›› 2019, Vol. 36 ›› Issue (04): 52-58.doi: 10.12052/gdutxb.180140

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The Generalized Order of Dirichlet Series

Chen Qing-yuan, Huo Ying-ying   

  1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China
  • Received:2018-10-29 Online:2019-06-18 Published:2019-05-31

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Abstract: The generalized order of Dirichlet series on the whole plane is studied. The Knopp-Kojima method is used to obtain the results of the growth relationship between the maximum modulus and the coefficients of Dirichlet series, and the above results are transformed into the relation between the coefficients of Dirichlet series and its generalized order under weak conditions.

Key words: Dirichlet series, generalized order, slow growth

CLC Number: 

  • O174.52
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