3nj-coefficients of su(1,1) as connection coefficients between orthogonal polynomials in n variables

DOI10.1063/1.1482149zbMath1060.33020OpenAlexW2033911235MaRDI QIDQ4832694

Stijn Lievens, Joris Van der Jeugt

Publication date: 14 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1482149

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Lie algebras and Lie superalgebras (17B99)

Related Items (5)

Expansion formulas for terminating balanced \(_{4} F_{3}\)-series from the Biedenharn--Elliot identity for \(\mathfrak{su}(1,1)\) ⋮ Realisations of Racah algebras using Jacobi operators and convolution identities ⋮ Realizations of coupled vectors in the tensor product of representations of \(\mathfrak{su}(1,1)\) and \(\mathfrak{su}(2)\) ⋮ Connection coefficients for classical orthogonal polynomials of several variables ⋮ Wilson function transforms related to Racah coefficients

Uses Software

• NJFORMULA

Cites Work

• New efficient programs to calculate general recoupling coefficients. I: Generation of a summation formula
• Product formulas and associated hypergroups for orthogonal polynomials on the simplex and on a parabolic biangle
• Multilinear Hankel forms of higher order and orthogonal polynomials
• New construction of 3nj-symbols
• Coupling coefficients for Lie algebra representations and addition formulas for special functions
• Convolutions for Orthogonal Polynomials from Lie and Quantum Algebra Representations

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