Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (1): 72-81.

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The Generalied Approximation and Growth Problem of Dirichlet Series in the Whole Plane

Wen Qiong, Ning Juhong   

  1. College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022
  • Received:2016-06-13 Revised:2016-11-24 Online:2017-02-26 Published:2017-02-26
  • Supported by:

    Supported by the NSFC (11171119, 1166104)

Abstract:

In this paper, we study the growth of Dirichlet series in the whole plane by defining the generalized order and type. We also investigate the concept of error En-1(f,δ) and remainder Rn(f,δ) and get some interesting relationships on maximum modulus, the maximum term.

Key words: Dirichlet series, Generalized order, Generalized type, Error, Remainder

CLC Number: 

  • O175.55
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