Acta mathematica scientia,Series B ›› 2003, Vol. 23 ›› Issue (2): 247-.

• Articles • Previous Articles     Next Articles

ON THE GROWTH OF INFINITE ORDER DIRICHLET SERIES

 CHEN Te-Wei, SUN Dao-Chun   

  1. Department of Mathematics, South China Normal University, Guangzhou 510631, China
  • Online:2003-04-07 Published:2003-04-07
  • Supported by:

    Research supported by the national natural Science foundation of
    China(19971029) and guangdong provincial natural science foundation (990444)

Abstract:

In this paper, the property of infinite order Dirichlet series in the half-plane are
investigated. The more exact growth of infinite order Dirichlet series is obtained without
using logarithm argument to the type-function for the first time.

Key words: Dirichlet series, type-function, growth

CLC Number: 

  • 30B50
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