The singular points of analytic functions with finite \(X\)-order defined by Laplace-Stieltjes transformations
type: Item
instance of: scholarly article
title: The singular points of analytic functions with finite \(X\)-order defined by Laplace-Stieltjes transformations
zbMATH Open document ID: 1321.30021
DOI: 10.1155/2015/865069
author: Hongyan Xu
author: Zu-Xing Xuan
published in: Journal of Function Spaces
publication date: 2015-08-20T00:00:00Z
review text: Summary: We study the singular points of analytic functions defined by Laplace-Stieltjes transformations which converge on the right half plane, by introducing the concept of \(X\)-order functions. We also confirm the existence of the finite \(X\)-order Borel points of such functions and obtained the extension of the finite \(X\)-order Borel point of two analytic functions defined by two Laplace-Stieltjes transformations convergent on the right half plane. The main results of this paper are improvement of some theorems given by \textit{L. Shang} and \textit{Z. Gao} [Acta Math. Sci., Ser. A, Chin. Ed. 27, No. 6, 1035--1043 (2007; Zbl 1150.30339)].
Mathematics Subject Classification ID: 30D15
zbMATH DE Number: 6474243
zbMATH Keywords: Laplace-Stieltjes transformation
zbMATH Keywords: Dirichlet series
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/865069
OpenAlex ID: W1995535873
Wikidata QID: Q59112908
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description: scientific article; zbMATH DE number 6474243