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http://hdl.handle.net/10773/15313
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 |
URI: | http://hdl.handle.net/10773/15313 |
DOI: | 10.1007/978-3-642-21931-3_21 |
ISBN: | 978-3-642-21930-6 |
ISSN: | 0302-9743 |
Appears in Collections: | CIDMA - Comunicações |
Files in This Item:
File | Description | Size | Format | |
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MalonekTomaz_ICCSA2011.pdf | final draft | 327.46 kB | Adobe PDF | View/Open |
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