Asymptotic expansions of the Lauricella hypergeometric function \(F _{D}\)
type: Item
instance of: scholarly article
title: Asymptotic expansions of the Lauricella hypergeometric function \(F _{D}\)
zbMATH Open document ID: 1025.33006
DOI: 10.1016/S0377-0427(02)00814-2
author: Chelo Ferreira
author: José L. López
published in: Journal of Computational and Applied Mathematics
publication date: 2003-05-19T00:00:00Z
review text: The authors presented an integral representation of the Lauricella hypergeometric function in the form of a generalized Stieltjes transform. Distributional approach is applied to the integral to derive four asymptotic expansions of the function. The authors also determined the error bounds for the remainder of the asymptotic expansions at any order of the approximation. The bounds were shown considerably accurate by means of numerical experiments.
Mathematics Subject Classification ID: 33C65
Mathematics Subject Classification ID: 41A60
zbMATH DE Number: 1912296
zbMATH Keywords: Lauricella hypergeometric function
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: generalized Stieltjes transforms
reviewed by: Matthew He
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1912296