Acta mathematica scientia,Series A

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The Growth of An Entire Function Represented by Dirichlet Series

with Complex Exponents

Ning Juhong;Deng Guantie   

  1. College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022
  • Received:2005-10-26 Revised:2007-01-08 Online:2007-12-25 Published:2007-12-25
  • Contact: Ning Juhong

Abstract:

Let f be an entire function represented by Dirichlet series,which is bounded in a horizontal stirp, its coefficients {an} and exponents {λn}(n=1,2,... )are sequences of complex numbers.
The authors introduce φ-order and lower φ-order and study the conditions for f having φ-order and lower φ-order respectively.

Key words: Entire function, Dirichlet series, Growth

CLC Number: 

  • 30B50
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