A probabilistic counterpart of the Askey scheme for continuous polynomials

DOI10.1515/APAM.2011.014zbMath1242.33016OpenAlexW2316384233MaRDI QIDQ2882743

Jean-Renaud Pycke

Publication date: 7 May 2012

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam.2011.014

zbMATH Keywords

orthogonal polynomialsAskey schemeconvergence of densitiesconvergence of orthogonality measures

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) 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

• A risk model driven by Lévy processes

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