A Mehler-Heine formula for disk polynomials

DOI10.1016/0019-3577(91)90037-8zbMath0727.33003OpenAlexW2015826620MaRDI QIDQ803344

Mostafa Bouhaik, Léonard Gallardo

Publication date: 1991

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(91)90037-8

zbMATH Keywords

disk polynomialsMehler-Heine formulatwo-dimensional central limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Convergence of probability measures (60B10)

Related Items

On the zeros of a class of generalized hypergeometric polynomials, Limit theorems for random walks on the double coset spaces \(U(n)//U(n-1)\) for \(n\to \infty\), On the norms of quaternionic harmonic projection operators, Smallest zeros of some types of orthogonal polynomials: asymptotics, Mehler-Heine type formulas for Charlier and Meixner polynomials, A formula of Hilb's type for orthogonal polynomials

Cites Work

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• Special functions connected with representations of the group 𝑆𝑈(𝑛) of class I relative to 𝑆𝑈(𝑛-1)(𝑛≥3)
• Central limit theorems for a class of polynomial hypergroups