\(q\)-coherent pairs and \(q\)-orthogonal polynomials

DOI10.1016/S0096-3003(01)00072-8zbMath1020.33005OpenAlexW2028730210MaRDI QIDQ1855670

Francisco Marcellán, IvÁn Area, Eduardo Paciência Godoy

Publication date: 28 January 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00072-8

zbMATH Keywords

\(q\)-Jacobi polynomials\(q\)-orthogonal polynomials\(q\)-Laguerre polynomials\(q\)-coherence

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (10)

On the Krall-type discrete polynomials ⋮ Second-order difference equation for Sobolev-type orthogonal polynomials: Part I: theoretical results ⋮ A matrix characterization for the \(D_\nu\)-semiclassical and \(D_\nu\)-coherent orthogonal polynomials ⋮ The semiclassical Sobolev orthogonal polynomials: a general approach ⋮ Symmetric \(q\)-Dunkl-coherent pairs ⋮ (1, 1)-\(q\)-coherent pairs ⋮ \((1,1)\)-coherent pairs on the unit circle ⋮ Some results on Dunkl-coherent Pairs ⋮ On linearly related sequences of difference derivatives of discrete orthogonal polynomials ⋮ (1,1)-D_ω-coherent pairs

Cites Work

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• Inner products involving \(q\)-differences: The little \(q\)-Laguerre-Sobolev polynomials
• On classical orthogonal polynomials
• Orthogonal polynomials and coherent pairs: The classical case
• What is beyond coherent pairs of orthogonal polynomials?
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or $6 - j$ Symbols
• \Delta -Coherent Pairs and Orthogonal Polynomials of a Discrete Variable
• Classification of all δ-Coherent Pairs
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen

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