Derivatives of generalized Gegenbauer polynomials

DOI10.1023/A:1015464413079zbMath1053.33008arXivmath-ph/0201026OpenAlexW13905460MaRDI QIDQ1417364

W. García Fuertes, A. M. Perelomov

Publication date: 4 January 2004

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0201026

zbMATH Keywords

exact solutionsspecial functionsquantum integrable systems

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) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (6)

Some results on the eigenfunctions of the quantum trigonometric Calogero–Sutherland model related to the Lie algebra D4 ⋮ Explicit computations of low-lying eigenfunctions for the quantum trigonometric Calogero-Sutherland model related to the exceptional algebra \(E _{7}\) ⋮ A note on Franel numbers and \(\mathrm{SU}(3)\) ⋮ A perturbative approach to the quantum elliptic Calogero-Sutherland model ⋮ Some results on the eigenfunctions of the quantum trigonometric Calogero–Sutherland model related to the Lie algebra E6 ⋮ Quantum trigonometric Calogero-Sutherland model, irreducible characters and Clebsch-Gordan series for the exceptional algebra E7

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