Evaluation of a certain \(q\)-determinant
type: Item
instance of: scholarly article
title: Evaluation of a certain \(q\)-determinant
zbMATH Open document ID: 0995.15002
DOI: 10.1016/S0024-3795(01)00438-4
author: Michitomo Nishizawa
published in: Linear Algebra and its Applications
publication date: 2002-05-15T00:00:00Z
full work available at URL: abstract.html
review text: \textit{M. L. Mehta} and \textit{R. Wang} [Commun. Math. Phys. 214, No. 1, 227-232 (2000; Zbl 0978.15007)] evaluated a certain determinant involved in the statistics of random matrices and showed that it involves Meixner-Pollaczek polynomials. This paper evaluates the \(q\)-analogous determinants.
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15B52
zbMATH DE Number: 1741563
zbMATH Keywords: Mehta-Wang determinant
zbMATH Keywords: Meixner-Pollaczek polynomial
zbMATH Keywords: \(q\)-series
zbMATH Keywords: random matrices
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
cites work: Some \(q\)-analogues of determinant identities which arose in plane partition enumeration
cites work: Advanced determinant calculus: a complement
cites work: Probability density of the determinant of a random Hermitian matrix
cites work: Calculation of a certain determinant
cites work: Determinants of \(q\)-hypergeometric functions and another proof of the Askey conjecture
cites work: Orthogonal Functions from Gram Determinants
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description: scientific article; zbMATH DE number 1741563