The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type Function

The main aim of this paper is to establish some theorems concerning the error EnF,β, the Sun’s type function Ur, and Muσ,F of entire functions defined by Laplace-Stieltjes transforms with infinite order converge in the whole complex plane. Our results exhibit the growth of Laplace-Stieltjes transfor...

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Main Authors: Xia Shen, Hong Yan Xu
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/9970287
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author Xia Shen
Hong Yan Xu
author_facet Xia Shen
Hong Yan Xu
author_sort Xia Shen
collection DOAJ
description The main aim of this paper is to establish some theorems concerning the error EnF,β, the Sun’s type function Ur, and Muσ,F of entire functions defined by Laplace-Stieltjes transforms with infinite order converge in the whole complex plane. Our results exhibit the growth of Laplace-Stieltjes transforms from the point of view of approximation.
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institution Kabale University
issn 2314-8896
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publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-4674072e5b2f4ea7a2e8a6940e6f21d82025-02-03T07:23:54ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/99702879970287The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type FunctionXia Shen0Hong Yan Xu1College of Science, Jiujiang University, Jiujiang, Jiangxi 332005, ChinaSchool of Mathematics and Computer Science, Shangrao Normal University, Shangrao Jiangxi 334001, ChinaThe main aim of this paper is to establish some theorems concerning the error EnF,β, the Sun’s type function Ur, and Muσ,F of entire functions defined by Laplace-Stieltjes transforms with infinite order converge in the whole complex plane. Our results exhibit the growth of Laplace-Stieltjes transforms from the point of view of approximation.http://dx.doi.org/10.1155/2021/9970287
spellingShingle Xia Shen
Hong Yan Xu
The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type Function
Journal of Function Spaces
title The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type Function
title_full The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type Function
title_fullStr The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type Function
title_full_unstemmed The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type Function
title_short The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type Function
title_sort approximation of laplace stieltjes transforms concerning sun s type function
url http://dx.doi.org/10.1155/2021/9970287
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