An introduction to the \(q\)-Laguerre-Hahn orthogonal \(q\)-polynomials

DOI10.3842/SIGMA.2011.092zbMath1242.42019arXiv1110.0580OpenAlexW2002556865MaRDI QIDQ431368

Lotfi Khériji, Mohamed Ihsen Tounsi, Abdallah Ghressi

Publication date: 26 June 2012

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

Full work available at URL: https://arxiv.org/abs/1110.0580

zbMATH Keywords

\(q\)-difference operator\(q\)-difference equation\(q\)-Laguerre-Hahn form\(q\)-Riccati equationorthogonal \(q\)-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)

Characterization of the symmetricD-Laguerre–Hahn orthogonal polynomial sequences of even class via the quadratic decomposition ⋮ Characterization of theD-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition ⋮ On some perturbed \(q\)-Laguerre-Hahn orthogonal \(q\)-polynomials ⋮ Unnamed Item

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