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Two-dimensional Krall-Sheffer polynomials and quantum systems on spaces with constant curvature

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Publication:1417864
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DOI10.1023/B:MATH.0000004361.34059.55zbMath1031.33009MaRDI QIDQ1417864

Luc Vinet, Alexei Zhedanov

Publication date: 6 January 2004

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


zbMATH Keywords

integrable systemsorthogonal polynomials in two variables


Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Other special orthogonal polynomials and functions (33C47)


Related Items (4)

The algebra of two dimensional generalized Chebyshev-Koornwinder oscillator ⋮ Linear partial difference equations of hypergeometric type: orthogonal polynomial solutions in two discrete variables ⋮ Recursive procedures for Krall-Sheffer operators ⋮ Two-variable -1 Jacobi polynomials




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