The symmetrical \(H_q\)-semiclassical orthogonal polynomials of class one

DOI10.3842/SIGMA.2009.076zbMath1188.33014arXiv0907.3851OpenAlexW2162240516MaRDI QIDQ970260

Lotfi Khériji, Abdallah Ghressi

Publication date: 17 May 2010

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.3851

zbMATH Keywords

integral representations\(q\)-difference operator\(q\)-series representationssemiclassical formquadratic decomposition of symmetrical orthogonal polynomialsthe \(q\)-analog of the distributional equation of Pearson type

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 (9)

On the symmetric \(H_q\)-semiclassical polynomial sequences of even class. Some examples from the class two ⋮ Laguerre-Freud equations associated with the Hq-semiclassical forms of class one ⋮ Symmetric abstract hypergeometric polynomials ⋮ Characterization of \(q\)-Dunkl Appell symmetric orthogonal \(q\)-polynomials ⋮ Symmetric \(q\)-Dunkl-coherent pairs ⋮ On some perturbed \(q\)-Laguerre-Hahn orthogonal \(q\)-polynomials ⋮ Unnamed Item ⋮ Characterizations of the symmetric \(T_{(\theta, q)}\)-classical orthogonal \(q\)-polynomials ⋮ Characterization of \(q\)-Dunkl-classical symmetric orthogonal \(q\)-polynomials

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