Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (4): 991-997.

• Articles • Previous Articles     Next Articles

The Regular Growth of Dirichlet Series on the Whole Plane

 GU Zhen-Dong, SUN Dao-Chun   

  1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631
  • Received:2009-08-16 Revised:2010-10-28 Online:2011-08-25 Published:2011-08-25

Abstract:

By the method of Knopp-Kojima, the authors define the order of Dirichlet series and the order of regular growth of Dirichlet series,
 and study the regular growth of  Dirichlet series on the whole plane, and obtain an equivalent   condition of the order of regular growth of Dirichlet series.

Key words: Dirichlet series, Method of Knopp-Kojima, Order, Regular growth

CLC Number: 

  • 30B50
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