A method to study the Krall and \(q\)-Krall polynomials

DOI10.1016/S0377-0427(00)00686-5zbMath0990.33011MaRDI QIDQ5946634

Alexei Zhedanov, Oksana Yermolayeva, Luc Vinet

Publication date: 6 August 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

little \(q\)-Jacobi polynomials\(q\)-Krall polynomialsKrall polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (3)

Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz ⋮ Orthogonal polynomial solutions of linear ordinary differential equations ⋮ Limit relations between \(q\)-Krall type orthogonal polynomials

Cites Work

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• A method of constructing Krall's polynomials
• Variations around classical orthogonal polynomials. Connected problems
• Certain differential equations for Tchebycheff polynomials
• Generalized little $q$-Jacobi polynomials as eigensolutions of higher-order $q$-difference operators
• Characterizations of Orthogonal Polynomials Satisfying Differential Equations
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• Differential equations for generalized Jacobi polynomials
• Orthogonal polynomial solutions of spectral type differential equations: Magnus' conjecture

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