Characterizations of a special family of \(H_{q}\)-semiclassical orthogonal \(q\)-polynomials of class one

DOI10.1515/APAM-2014-0002zbMath1294.33013OpenAlexW2327953779MaRDI QIDQ2016456

Najoua Barhoumi, Imed Ben Salah

Publication date: 20 June 2014

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam-2014-0002

zbMATH Keywords

integral representations\(q\)-difference operatordiscrete measureStieltjes functionsquadratic decomposition\(q\)-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)

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