A determinant formula for a holonomic \(q\)-difference system associated with Jackson integrals of type \(BC_n\)
type: Item
instance of: scholarly article
title: A determinant formula for a holonomic \(q\)-difference system associated with Jackson integrals of type \(BC_n\)
zbMATH Open document ID: 1173.33013
author: Kazuhiko Aomoto
author: Masahiko Ito
published in: Advances in Mathematics
publication date: 2009-05-28T00:00:00Z
review text: The authors state an explicit product formula for the determinant of a matrix with entries given by Jackson integrals of type \(BC_{n} \) (a multisum generalization of a very -well- poised- balanced \(_{2r}{\psi}_{2r}\) basic hypergeometric series). The determinant satisfies a holomonic q-difference equation which has been constructed by using a set of new polynomials via the symplectic Schur functions.
reviewed by: Chrysoula G. Kokologiannaki
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 33D67
Mathematics Subject Classification ID: 39A13
zbMATH DE Number: 5559012
zbMATH Keywords: Jackson integral of type \(BC_{n}\)
zbMATH Keywords: symplectic Schur functions
zbMATH Keywords: Vandermonde type determinant
MaRDI profile type: Publication
full work available at URL: j.aim.2009.02.003
OpenAlex ID: W2060680521
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DOI: 10.1016/J.AIM.2009.02.003
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description: scientific article; zbMATH DE number 5559012