On sieved orthogonal polynomials. X: General blocks of recurrence relations
type: Item
instance of: scholarly article
title: On sieved orthogonal polynomials. X: General blocks of recurrence relations
zbMATH Open document ID: 0805.33006
author: Jairo Alberto Charris Castañeda
author: Mourad E. H. Ismail
author: Sergio Monsalve
published in: Pacific Journal of Mathematics
publication date: 1994-05-05T00:00:00Z
review text: Sieved orthogonal polynomials arose when the recurrence coefficients are constant except on an arithmetic progression. Clearly this was too narrow a class. Here an extended class is treated, where the recurrence relation breaks into blocks of the same size, and a particular determinant is constant on these blocks. A symmetric condition assumed earlier in a paper by two of the authors has been dropped, so the new results apply to nonsymmetric sieved polynomials, and also to other interesting cases dealing with polynomial mappings.
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 562511
zbMATH Keywords: sieved orthogonal polynomials
reviewed by: R. Askey
MaRDI profile type: Publication
full work available at URL: pjm.1994.163.237
OpenAlex ID: W1975353353
DOI: 10.2140/PJM.1994.163.237
description: scientific article; zbMATH DE number 562511