On Terminating and Non-Terminating q-Gauss Hypergeometric Series Distributions and the Associated q-Orthogonal Polynomials

DOI10.3233/FI-2012-698zbMath1246.60020OpenAlexW1916623740MaRDI QIDQ2898457

Andreas George Kyriakoussis, Malvina G. Vamvakari

Publication date: 11 July 2012

Published in: Fundamenta Informaticae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/fi-2012-698

zbMATH Keywords

\(q\)-hypergeometric distributioninverse \(q\)-hypergeometric distribution\(q\)-factorial momentsbirth-abort-death processes\(q\)-Gauss hypergeometric series distributions\(q\)-Hahn and big \(q\)-Jacobi orthogonal polynomials\(q\)-Hahn and big \(q\)-Jacobi processesnegative and inverse negative \(q\)-hypergeometric distributions

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

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