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Complex Variables and Elliptic Equations

An International Journal
Volume 59, 2014 - Issue 4
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Articles

On the growth properties of the Laplace–Stieltjes transform

YinYing Kong School of Mathematics and Computational Science , Guangdong University of Business Studies , Guangzhou , 510320 , China ; LMAM , Université de Bretagne-Sud , Campus de Tohanic, 56017 , Vannes , France Correspondencekongyy@gdcc.edu.cn
&
Yan Yang School of Mathematics and Computational Science , Sun Yat-Sen University , Guangzhou , China
Pages 553-563
Received 02 Jan 2011
Accepted 08 Jan 2013
Published online: 25 Mar 2013
 
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Articles

On the growth properties of the Laplace–Stieltjes transform

Abstract

In this paper, we investigate a Type-function of the Laplace–Stieltjes transforms convergent in the complex plane, and obtain some formulas about relations between the growth properties of the maximum modulus and the local maximum, which briefly extend some results of Dirichlet series.

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Acknowledgments

The research was supported by the National Natural Science Foundation of China (Grant No. 11101096 and No. 10901166) and the Guangdong Natural Science Foundation (Grant No. S2012010010376).

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