Operator calculus approach to orthogonal polynomial expansions
type: Item
instance of: scholarly article
title: Operator calculus approach to orthogonal polynomial expansions
zbMATH Open document ID: 0858.65014
DOI: 10.1016/0377-0427(95)00161-1
author: Ph. Feinsilver
author: R. Schott
published in: Journal of Computational and Applied Mathematics
publication date: 1996-10-13T00:00:00Z
review text: The close relationship between Meixner polynomials and representations of Heisenberg algebra is used to obtain expressions for the generalized Fourier coefficients of a function expanded in a series of orthogonal polynomials of Meixner type. From these formulas, the authors show how to compute the coefficients using techniques of operational calculus. The particular case of Krawtchouk polynomials is discussed in detail and includes an algorithm for computing Krawtchouk transforms.
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 44A45
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 65T40
zbMATH DE Number: 908321
zbMATH Keywords: Meixner polynomials
zbMATH Keywords: Heisenberg algebra
zbMATH Keywords: generalized Fourier coefficients
zbMATH Keywords: series of orthogonal polynomials
zbMATH Keywords: operational calculus
zbMATH Keywords: Krawtchouk polynomials
zbMATH Keywords: algorithm
zbMATH Keywords: Krawtchouk transforms
reviewed by: Luigi Gatteschi
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00161-1
OpenAlex ID: W1977563400
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description: scientific article; zbMATH DE number 908321