Laplace approximation for Bessel functions of matrix argument
type: Item
instance of: scholarly article
title: Laplace approximation for Bessel functions of matrix argument
zbMATH Open document ID: 1027.65033
DOI: 10.1016/S0377-0427(02)00874-9
author: R. W. Butler
author: Andrew T. A. Wood
published in: Journal of Computational and Applied Mathematics
publication date: 2003-06-17T00:00:00Z
review text: The authors present Laplace approximations to Bessel functions of matrix argument and to the confluent type II matrix argument hypergeometric function. A collection of results concerning the theoretical properties of the various Laplace approximations is proved. In particular, it is shown that suitably calibrated versions of the approximations inherit the symmetries and confluence relations satisfied by the original functions. A series of tables with results of calculations is given.
reviewed by: Vladimir L. Makarov
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 33C15
Mathematics Subject Classification ID: 33F05
zbMATH DE Number: 1929361
zbMATH Keywords: asymptotic approximation
zbMATH Keywords: Bessel function
zbMATH Keywords: confluence relations
zbMATH Keywords: Laplace approximation
zbMATH Keywords: hypergeometric function
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1929361