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Title: Laguerre polynomials in several hypercomplex variables and their matrix representation
Author: Malonek, Helmuth Robert
Tomaz, Graça
Keywords: Hypercomplex Laguerre polynomials
Block creation matrix
Block Pascal matrix
Issue Date: 2011
Publisher: Springer Berlin Heidelberg
Abstract: Recently the creation matrix, intimately related to the Pascal matrix and its generalizations, has been used to develop matrix representations of special polynomials, in particular Appell polynomials. In this paper we describe a matrix approach to polynomials in several hypercomplex variables based on special block matrices whose structures simulate the creation matrix and the Pascal matrix. We apply the approach to hypercomplex Laguerre polynomials, although it can be used for other Appell sequences, too.
Peer review: yes
DOI: 10.1007/978-3-642-21931-3_21
ISBN: 978-3-642-21930-6
ISSN: 0302-9743
Appears in Collections:CIDMA - Comunicações

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