Recursive procedures for Krall-Sheffer operators

DOI10.1063/1.4802098zbMath1302.42037arXiv1211.3075OpenAlexW3102669910MaRDI QIDQ5397802

Michael J. Scott, Allan P. Fordy

Publication date: 24 February 2014

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

Full work available at URL: https://arxiv.org/abs/1211.3075

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Eigenvalue problems for linear operators (47A75)

Related Items (3)

A note on some superintegrable Hamiltonian systems ⋮ Poisson algebras and 3D superintegrable Hamiltonian systems ⋮ The role of commuting operators in quantum superintegrable systems

Cites Work

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• Two-dimensional Krall-Sheffer polynomials and quantum systems on spaces with constant curvature
• Quantum super-integrable systems as exactly solvable models
• Orthogonal polynomials in two variables
• Two-dimensional Krall-Sheffer polynomials and integrable systems
• An infinite family of solvable and integrable quantum systems on a plane
• On Two-Dimensional Definite Orthogonal Systems and a Lower Bound for the Number of Nodes of Associated Cubature Formulae
• Superintegrability on the two-dimensional hyperboloid. II
• Two variable orthogonal polynomials and structured matrices

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