Befriending Askey–Wilson polynomials

DOI10.1142/S0219025714500155zbMath1301.33025arXiv1111.0601OpenAlexW2049186944MaRDI QIDQ3190765

Paweł Jerzy Szabłowski

Publication date: 19 September 2014

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

Full work available at URL: https://arxiv.org/abs/1111.0601

zbMATH Keywords

orthogonal polynomialsdensity expansioncontinuous dual Hahnal-Salam-ChiharaAskey-Wilsonkernels built of al-Salam-Chihara polynomialsq-Hermite

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) (q)-calculus and related topics (05A30) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Bibasic functions and multiple bases (33D65)

Related Items (6)

Askey-Wilson integral and its generalizations ⋮ On three dimensional multivariate version of \(q\)-normal distribution and probabilistic interpretations of Askey-Wilson, Al-Salam-Chihara and \(q\)-ultraspherical polynomials ⋮ On the families of polynomials forming a part of the Askey–Wilson scheme and their probabilistic applications ⋮ On the generalized Kesten–McKay distributions ⋮ Moments of \(q\)-normal and conditional \(q\)-normal distributions ⋮ On positivity of orthogonal series and its applications in probability

Cites Work

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