A formula of Hilb's type for orthogonal polynomials

DOI10.1016/0377-0427(93)90167-AzbMath0791.33008MaRDI QIDQ1318430

Michael Voit

Publication date: 7 July 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Bessel functionsperturbed ultraspherical polynomialsthree-term- recurrence relation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Harmonic analysis on hypergroups (43A62) Difference operators (39A70) Spherical harmonics (33C55)

Cites Work

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• A law of the iterated logarithm for a class of polynomial hypergroups
• Central limit theorems for random walks on \({\mathbb{N}}_ 0\) that are associated with orthogonal polynomials
• A Mehler-Heine formula for disk polynomials
• Pseudoisotropic random walks on free groups and semigroups
• Convolution structures associated with orthogonal polynomials
• The central limit theorem for Chébli-Trimèche hypergroups
• Comportement asymptotique des marches aleatoires associees aux polynomes de Gegenbauer et applications
• Orthogonal Polynomials and a Discrete Boundary Value Problem II
• Orthogonal polynomials
• Central limit theorems for a class of polynomial hypergroups

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