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Laguerre Polynomials in Several Hypercomplex Variables and Their Matrix Representation

  • H. R. Malonek
  • G. Tomaz
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6784)

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.

Keywords

Hypercomplex Laguerre polynomials block creation matrix block Pascal matrix 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • H. R. Malonek
    • 1
  • G. Tomaz
    • 2
  1. 1.Universidade de AveiroAveiroPortugal
  2. 2.Instituto Politécnico da GuardaGuardaPortugal

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