Laguerre polynomials in several hypercomplex variables and their matrix representation

Authors:
H. R. Malonek;G. Tomaz
Affiliations:
Universidade de Aveiro, Aveiro, Portugal;Instituto Politécnico da Guarda, Guarda, Portugal
Venue:
ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part III
Year:
2011

Citing 3
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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.