d-Orthogonality of some basic hypergeometric polynomials

DOI10.1515/gmj-2013-0039zbMath1282.33027OpenAlexW2333066164MaRDI QIDQ5396451

Abdelwaheb Ouni, Imed Lamiri

Publication date: 6 February 2014

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2013-0039

zbMATH Keywords

Laguerre polynomialslinear functionalsMeixner polynomialshypergeometric polynomialsbasic hypergeometric polynomials\(d\)-orthogonality\(q\)-Laguerre polynomials\(q\)-Meixner polynomialsbig \(q\)-Laguerre polynomialslittle \(q\)-Laguerre

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)

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\(d\)-orthogonality and \(q\)-Askey-scheme ⋮ Connection and inversion coefficients for basic hypergeometric polynomials ⋮ L-classical d-orthogonal polynomial sets of Sheffer type ⋮ On \(d\)-orthogonal polynomials with Brenke type generating functions ⋮ Automorphisms of the q-deformed algebra su_q(1, 1) and d-Orthogonal polynomials of q-Meixner type