THE BRENKE TYPE GENERATING FUNCTIONS AND EXPLICIT FORMS OF MRM-TRIPLES BY MEANS OF Q-HYPERGEOMETRIC SERIES

DOI10.1142/S0219025713500100zbMath1272.33008MaRDI QIDQ2842030

Hui-Hsiung Kuo, Nobuhiro Asai, Izumi Kubo

Publication date: 30 July 2013

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

\(q\)-hypergeometric functions\(q\)-orthogonal polynomialsBrenke type generating functionsJacobi-Szegö parametersMRM-factorsMRM-triplemultiplicative renormalization method (MRM)

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (2)

On \(d\)-orthogonal polynomials with Brenke type generating functions ⋮ A characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind

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