9j-symbols of the oscillator algebra and Krawtchouk polynomials in two variables

DOI10.1088/0305-4470/30/23/029zbMath0952.33010OpenAlexW2039392241MaRDI QIDQ4255666

Alexei Zhedanov

Publication date: 19 August 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/30/23/029

zbMATH Keywords

Lie algebrasKrawtchouk polynomialsRodriguez formulaoscillator algebra

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (6)

Linear partial difference equations of hypergeometric type: orthogonal polynomial solutions in two discrete variables ⋮ Matrix elements of SO(3) in sl3 representations as bispectral multivariate functions ⋮ Racah problems for the oscillator algebra, the Lie algebra \(\mathfrak{sl}_n\), and multivariate Krawtchouk polynomials ⋮ Structure relations for monic orthogonal polynomials in two discrete variables ⋮ A \(q\)-analogue of the 9-\(j\) symbols and their orthogonality ⋮ Bivariate Krawtchouk polynomials: inversion and connection problems with the NAVIMA algorithm

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