Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case
type: Item
instance of: scholarly article
title: Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case
zbMATH Open document ID: 0934.33014
DOI: 10.1016/S0377-0427(98)00002-8
author: A. Zarzo
author: Iván Area
author: Eduardo Godoy
author: A. Ronveaux
published in: Journal of Computational and Applied Mathematics
publication date: 2000-04-10T00:00:00Z
review text: This is a corrected version of the original article [\textit{I. Area}, \textit{E. Godoy}, \textit{A. Ronveaux} and \textit{A. Zarzo}, J. Comput. Appl. Math. 87, No. 2, 321-337 (1997; Zbl 0892.65078)]. The differences between the two versions are minimal. On the main differences is the reference to the important article [\textit{G. Gasper}, J. Math. Anal. Appl. 45, 176-198 (1974; Zbl 0276.33026)]. The authors use their algorithmic methods developed in a.o. [\textit{E. Godoy, A. Ronveaux, A. Zarzo} and \textit{I. Area}, J. Comput. Appl. Math. 84, No. 2, 257-275 (1997; Zbl 0909.65008)], [\textit{A. Ronveaux}, \textit{A. Zarzo} and \textit{E. Godoy}, J. Comput. Appl. Math. 62, No. 1, 67-73 (1995; Zbl 0876.65005)] and [\textit{A. Zarzo}, \textit{I. Area}, \textit{E. Godoy} and \textit{A. Ronveaux}, J. Phys. A: Math. Gen. 30, L35--L40 (1997)] to find minimal recurrence relations for the connection coefficients between two families of discrete orthogonal polynomials. They give explicit results in the case of the Charlier, Meixner and Krawtchouk polynomials. The case of Hahn polynomials can be dealt with in a similar way as the authors remark. Note by the reviewer: the title of the last reference (in this review and in the article) is cited wrong by the authors.
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 1186863
zbMATH Keywords: discrete orthogonal polynomials
zbMATH Keywords: connection coefficients
zbMATH Keywords: Charlier polynomials
zbMATH Keywords: Meixner polynomials
zbMATH Keywords: Krawtchouk polynomials
zbMATH Keywords: Hahn polynomials
reviewed by: Roelof Koekoek
describes a project that uses: Mathematica
MaRDI profile type: Publication
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cites work: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case
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description: scientific article; zbMATH DE number 1186863