Using \(\mathcal D\)-operators to construct orthogonal polynomials satisfying higher order \(q\)-difference equations

DOI10.1016/j.jmaa.2014.11.011zbMath1312.33049arXiv1309.3296OpenAlexW2964125923MaRDI QIDQ481965

Renato Álvarez-Nodarse, Antonio J. Duran

Publication date: 19 December 2014

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

Full work available at URL: https://arxiv.org/abs/1309.3296

zbMATH Keywords

\(q\)-Laguerre polynomials\(q\)-difference operators\(q\)-Meixner polynomialsChristoffel transform

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13)

Related Items (13)

On difference operators for symmetric Krall-Hahn polynomials ⋮ Using \(\mathcal D\)-operators to construct orthogonal polynomials satisfying higher order difference or differential equations ⋮ Orthogonal polynomials satisfying higher-order difference equations ⋮ The algebra of difference operators associated to Meixner type polynomials ⋮ Bispectrality of Charlier type polynomials ⋮ Bispectrality of Meixner type polynomials ⋮ Constructing bispectral dual Hahn polynomials ⋮ Constructing Krall-Hahn orthogonal polynomials ⋮ Constructing bispectral orthogonal polynomials from the classical discrete families of Charlier, Meixner and Krawtchouk ⋮ The algebras of difference operators associated to Krall-Charlier orthogonal polynomials ⋮ Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomials ⋮ Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters ⋮ Unnamed Item

Cites Work

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