Inversion of the multi-dimensional Laplace transform-expansion by Laguerre series
type: Item
instance of: scholarly article
title: Inversion of the multi-dimensional Laplace transform-expansion by Laguerre series
zbMATH Open document ID: 0879.44001
DOI: 10.1007/BF00949080
author: M. V. Moorthy
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1996-02-04T00:00:00Z
review text: There are many methods to invert the Laplace transform in the existing literature, only a handful of them deal with the multi-dimensional case. Among the well known one-dimensional inversion techniques, the methods which use Laguerre polynomials are noted for their accuracy with several different types of functions. This paper is essentially an extension of the above methods to multi-dimension with the necessary mathematical theory. The method described here can be used to invert a Laplace transform known in closed form as an analytic function.
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 44A30
zbMATH DE Number: 831605
zbMATH Keywords: inversion
zbMATH Keywords: multi-dimensional Laplace transform
zbMATH Keywords: expansion by Laguerre series
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00949080
OpenAlex ID: W2069059723
description: scientific article; zbMATH DE number 831605