An introduction to the \(H_q\)-semiclassical orthogonal polynomials

DOI10.4310/MAA.2003.v10.n3.a5zbMath1058.33018OpenAlexW1547447742MaRDI QIDQ1884156

Lotfi Khériji

Publication date: 25 October 2004

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.2003.v10.n3.a5

zbMATH Keywords

\(q\)-semiclassical orthogonal polynomials

Mathematics Subject Classification ID

Basic hypergeometric functions (33D99)

Related Items (16)

Recurrence relations for the moments of discrete semiclassical orthogonal polynomials ⋮ \(H_q\)-semiclassical orthogonal polynomials via polynomial mappings ⋮ Basic theory of finite-type relations between orthogonal polynomial sequences ⋮ Second structure relation for \(q\)-semiclassical polynomials of the Hahn Tableau ⋮ q-Chebyshev polynomials and their q-classical characters ⋮ Laguerre-Freud equations associated with the Hq-semiclassical forms of class one ⋮ Characterization of \(q\)-Dunkl Appell symmetric orthogonal \(q\)-polynomials ⋮ A matrix characterization for the \(D_\nu\)-semiclassical and \(D_\nu\)-coherent orthogonal polynomials ⋮ The semiclassical Sobolev orthogonal polynomials: a general approach ⋮ On some perturbed \(D_{-\omega}\)-semiclassical orthogonal polynomials ⋮ Symmetric \(q\)-Dunkl-coherent pairs ⋮ On some perturbed \(q\)-Laguerre-Hahn orthogonal \(q\)-polynomials ⋮ Integral and discrete representations of someH_q-semiclassical forms ⋮ The complementary polynomials and the Rodrigues operator of classical orthogonal polynomials ⋮ On linearly related sequences of difference derivatives of discrete orthogonal polynomials ⋮ Characterization of \(q\)-Dunkl-classical symmetric orthogonal \(q\)-polynomials

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