Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/87558
Type: Artigo de periódico
Title: Classes Of Hypercomplex Polynomials Of Discrete Variable Based On The Quasi-monomiality Principle
Author: Faustino N.
Abstract: With the aim of derive a quasi-monomiality formulation in the context of discrete hypercomplex variables, one will amalgamate through a Clifford-algebraic structure of signature (0,n) the umbral calculus framework with Lie-algebraic symmetries. The exponential generating function (EGF) carrying the continuum Dirac operator D=-j=1nej-xj together with the Lie-algebraic representation of raising and lowering operators acting on the lattice hZn is used to derive the corresponding hypercomplex polynomials of discrete variable as Appell sets with membership on the space Clifford-vector-valued polynomials. Some particular examples concerning this construction such as the hypercomplex versions of falling factorials and the Poisson-Charlier polynomials are introduced. Certain applications from the view of interpolation theory and integral transforms are also discussed.
Editor: Elsevier Inc.
Rights: fechado
Identifier DOI: 10.1016/j.amc.2014.09.027
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-84907732042&partnerID=40&md5=8b820a5793848c4f0668af7f7f6f2506
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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