Integral and discrete representations of someHq-semiclassical forms

DOI10.2989/16073606.2015.1072854zbMath1422.42038OpenAlexW2289999281MaRDI QIDQ5233924

Manoubi Méjri

Publication date: 9 September 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2015.1072854

zbMATH Keywords

integral representation\(q\)-difference equations\(q\)-difference operator\(q\)-series representations\(H_q\)-semi-classical 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)

Cites Work

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• The \(H_q\)-classical orthogonal polynomials
• An introduction to the \(H_q\)-semiclassical orthogonal polynomials
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Quadratic decomposition of a family ofH_q-semiclassical orthogonal polynomial sequences
• On the \(q\)-polynomials: A distributional study

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