Quadratic decomposition of a family ofHq-semiclassical orthogonal polynomial sequences

DOI10.1080/10236198.2011.609816zbMath1268.42042OpenAlexW2083309777MaRDI QIDQ4899093

Belgacem Bouras, Francisco Marcellán

Publication date: 4 January 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2011.609816

zbMATH Keywords

orthogonal polynomials\(q\)-difference equationsrecurrence coefficientsstructure relation coefficients\(H_q\)-semiclassical polynomials

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)

Related Items (4)

\(H_q\)-semiclassical orthogonal polynomials via polynomial mappings ⋮ Symbolic approach to the general quadratic polynomial decomposition ⋮ Rodrigues formula and recurrence coefficients for non-symmetric Dunkl-classical orthogonal polynomials ⋮ Integral and discrete representations of someH_q-semiclassical forms

Cites Work

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• Eigenproblems for tridiagonal 2-Toeplitz matrices and quadratic polynomial mappings
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Symmetric laguerre-hahn forms of classs=1
• Generalized Jacobi orthogonal polynomials
• Symmetric semi-classical forms of classs≤2 generalizing Hermite
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• On the \(q\)-polynomials: A distributional study

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