Multivariable Al-Salam & Carlitz Polynomials Associated with the TypeA q-Dunkl Kernel

DOI<5::AID-MANA5>3.0.CO;2-S 10.1002/(SICI)1522-2616(200004)212:1<5::AID-MANA5>3.0.CO;2-SzbMath0970.33012arXivq-alg/9706006OpenAlexW2003419387MaRDI QIDQ4955496

Timothy H. Baker, Peter J. Forrester

Publication date: 15 May 2001

Full work available at URL: https://arxiv.org/abs/q-alg/9706006

zbMATH Keywords

Macdonald polynomials\(q\)-Jacobi polynomialsDunkl kernelmultivariable orthogonal polynomials

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

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On $BC$ type basic hypergeometric orthogonal polynomials ⋮ Classical discrete symplectic ensembles on the linear and exponential lattice: skew orthogonal polynomials and correlation functions ⋮ Elements of the q-Askey scheme in the algebra of symmetric functions ⋮ An operator approach to the Al-Salam–Carlitz polynomials ⋮ Symmetric and nonsymmetric Macdonald polynomials ⋮ \(q\)-Pearson pair and moments in \(q\)-deformed ensembles

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