Computing with differential-difference operators
type: Item
instance of: scholarly article
title: Computing with differential-difference operators
zbMATH Open document ID: 0946.65009
published in: Journal of Symbolic Computation
publication date: 2000-10-10T00:00:00Z
review text: The paper shows how Maple can be used to prove identities in the algebra generated be differential-difference operators (Dunkl operators), multiplication by coordinate functions and group translation, essentially in polynomial arithmetic. The proposed technique allows a conceptual proof of a complete orthogonal decomposition of the harmonic polynomials associated with a special case (the abelian reflection groups).
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 33C80
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33F10
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 1423192
zbMATH Keywords: differential-difference operators
zbMATH Keywords: abelian reflection groups
zbMATH Keywords: harmonic polynomials
zbMATH Keywords: maple
zbMATH Keywords: Dunkl operators
zbMATH Keywords: polynomial arithmetic
author: Charles F. Dunkl
reviewed by: Dana Petcu
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: jsco.1997.0341
OpenAlex ID: W2056524274
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DOI: 10.1006/JSCO.1997.0341
description: scientific article; zbMATH DE number 1423192