Acta mathematica scientia,Series A

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The Growth of Entire Functions of Infinte Order Represented

by Laplace-Stieltjes Transformation

Shang Lina; Gao Zongsheng   

  1. LMIB and Department of Mathematics, Beihang University, Beijing 100083
  • Received:2005-10-27 Revised:2007-01-10 Online:2007-12-25 Published:2007-12-25
  • Contact: Shang Lina

Abstract: In this paper, the authors investigate the growth of entire functions of infinite order represented by Laplace-Stieltjes transformation; the authors obtain two necessary and sufficient conditions and extend some results of Dirichlet series in the whole plane.

Key words: Laplace-Stieltjes transformation, Order, Entire function

CLC Number: 

  • 30D15
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