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ON THE GENERALIZED ORDER OF DIRICHLET SERIES

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  • 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 date: 2013-12-17

  Revised date: 2014-04-26

  Online 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).

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].

Cite this article

HUO YingYing, KONG YinYing . ON THE GENERALIZED ORDER OF DIRICHLET SERIES[J]. Acta mathematica scientia, Series B, 2015 , 35(1) : 133 -139 . DOI: 10.1016/S0252-9602(14)60146-6

References

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