Original scientific paper

On proximate order and type function of Laplace-Stieltjes transformations convergent in the right half-plane

Hong-Yan Xu ; Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, Jiangxi, P. R. China
Cai-Feng Yi ; Institute of Mathematics and Informatics, Jiangxi Normal University, Nanchang, Jiangxi, P. R. China
Ting-Bin Cao ; Department of Mathematics, Nanchang University, Nanchang, Jiangxi, P. R.China

Abstract

The proximate order and type-function for analytic functions of
finite order represented by Laplace-Stieltjes transformations F(s)
convergent only in the right half-plane is introduced and the growth
of such functions is investigated and two necessary and sufficient
conditions are obtained.

Keywords

Laplace-Stieltjes transformation; proximate order; type function

Hrčak ID:

93193

URI

https://hrcak.srce.hr/93193

Publication date:

5.12.2012.

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