Evaluation of a certain \(q\)-determinant

DOI10.1016/S0024-3795(01)00438-4zbMath0995.15002MaRDI QIDQ1347936

Michitomo Nishizawa

Publication date: 15 May 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: http://www.mathematicsweb.org/pub/8/4/48/173/27/34/abstract.html

zbMATH Keywords

\(q\)-seriesrandom matricesMeixner-Pollaczek polynomialMehta-Wang determinant

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Random matrices (algebraic aspects) (15B52)

Related Items

A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials

Cites Work

• Determinants of \(q\)-hypergeometric functions and another proof of the Askey conjecture
• Some \(q\)-analogues of determinant identities which arose in plane partition enumeration
• Advanced determinant calculus: a complement
• Orthogonal Functions from Gram Determinants
• Probability density of the determinant of a random Hermitian matrix
• Calculation of a certain determinant