On a structure formula for classical \(q\)-orthogonal polynomials

DOI10.1016/S0377-0427(00)00577-XzbMath1004.33008arXivmath/9612224MaRDI QIDQ5948568

Dieter Schmersau, Wolfram Koepf

Publication date: 3 February 2003

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

Full work available at URL: https://arxiv.org/abs/math/9612224

zbMATH Keywords

\(q\)-Jacobi polynomials\(q\)-Hahn tableauclassical \(q\)-orthogonal polynomialsstructure formula

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 (6)

Generic formulas for the values at the singular points of some special monic classical \(H_{q,\omega }\)-orthogonal polynomials ⋮ Second structure relation for \(q\)-semiclassical polynomials of the Hahn Tableau ⋮ Algorithmic determination of \(q\)-power series for \(q\)-holonomic functions ⋮ On non-linear characterizations of classical orthogonal polynomials ⋮ Representations of \(q\)-orthogonal polynomials ⋮ Structure relations of classical orthogonal polynomials in the quadratic and \(q\)-quadratic variable

Cites Work

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• Representations of orthogonal polynomials
• Inversion problems in the \(q\)-Hahn tableau
• Recursively generated Sturm-Liouville polynomial systems
• Another Characterization of the Classical Orthogonal Polynomials
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen

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