A new multidimensional matrix inverse with applications to multiple \(q\)-series
type: Item
instance of: scholarly article
title: A new multidimensional matrix inverse with applications to multiple \(q\)-series
zbMATH Open document ID: 0936.33011
DOI: 10.1016/S0012-365X(98)00374-4
published in: Discrete Mathematics
publication date: 1999-11-23T00:00:00Z
review text: The authors compute the inverse of a specific \(r\)-dimensional matrix, generalizing matrix inverses given by Krattenthaler and Chu. As applications they derive some multidimensional \(q\)-series identities. Among these are \(q\)-analogues of Carlitz' multidimensional Abel-type expansion formulas, and a \(q\)-analogue of MacMahon's Master Theorem.
reviewed by: W. Koepf
Mathematics Subject Classification ID: 33D70
Mathematics Subject Classification ID: 05A19
Mathematics Subject Classification ID: 05A30
Mathematics Subject Classification ID: 11B65
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 33C70
Mathematics Subject Classification ID: 33D15
zbMATH DE Number: 1331476
zbMATH Keywords: matrix inversion
zbMATH Keywords: inverse relations
zbMATH Keywords: basic hypergeometric series
zbMATH Keywords: \(q\)-Abel identities
zbMATH Keywords: \(q\)-Rothe identities
zbMATH Keywords: MacMahon's Master Theorem
author: C. Krattenthaler
author: Michael J. Schlosser
MaRDI profile type: Publication
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full work available at URL: s0012-365x(98)00374-4
OpenAlex ID: W1965475246
description: scientific article; zbMATH DE number 1331476