Multilinear Hankel forms of higher order and orthogonal polynomials

DOI10.7146/math.scand.a-13825zbMath0946.33012OpenAlexW2529960965MaRDI QIDQ4266587

Hjalmar Rosengren

Publication date: 8 October 2000

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7146/math.scand.a-13825

zbMATH Keywords

orthogonal polynomialsunitary representationsClebsch-Gordan coefficientsMöbius grouptensor product of representationsHankel formsfunctions on the unit disc

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) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Spherical harmonics (33C55) Polynomials and rational functions of one complex variable (30C10) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (6)

3nj-coefficients of su(1,1) as connection coefficients between orthogonal polynomials in n variables ⋮ Some continuous analogs of the expansion in Jacobi polynomials and vector-valued orthogonal bases ⋮ Realizations of coupled vectors in the tensor product of representations of \(\mathfrak{su}(1,1)\) and \(\mathfrak{su}(2)\) ⋮ Bargmann and Barut-Girardello models for the Racah algebra ⋮ On the triple sum formula for Wigner 9j-symbols ⋮ Trace class criteria for bilinear Hankel forms of higher weights

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