Approximation of hypergeometric functions with matricial argument through their development in series of zonal polynomials
type: Item
instance of: scholarly article
title: Approximation of hypergeometric functions with matricial argument through their development in series of zonal polynomials
zbMATH Open document ID: 0965.33002
author: R. Smith
publication date: 2001-02-19T00:00:00Z
full work available at URL: https://eudml.org/doc/121104
full work available at URL: pp121-130.html
review text: Hypergeometric series of matrix argument, defined in terms of zonal polynomials of positive definite matrices, are considered here. An algorithm is given to compute the first few terms of the series, which provide an approximation to the series. Explicit evaluations are given for Gauss hypergeometric series involving \(2\times 2\) matrices.
Mathematics Subject Classification ID: 33C20
Mathematics Subject Classification ID: 33C99
Mathematics Subject Classification ID: 33F05
zbMATH DE Number: 1565068
zbMATH Keywords: hypergeometric functions with matricial argument
reviewed by: Arakaparampil M. Mathai
MaRDI profile type: Publication
published in: ETNA - Electronic Transactions on Numerical Analysis
description: scientific article; zbMATH DE number 1565068