Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/15314
Title: | Matrix representations of a special polynomial sequence in arbitrary dimension |
Author: | Cação, Isabel Falcão, Maria Irene Malonek, Helmuth Robert |
Keywords: | Special polynomial sequence Monogenic function Matrix representation |
Issue Date: | Dec-2012 |
Publisher: | Springer Verlag |
Abstract: | This paper provides an insight into different structures of a special polynomial sequence of binomial type in higher dimensions with values in a Clifford algebra. The elements of the special polynomial sequence are homogeneous hypercomplex differentiable (monogenic) functions of different degrees and their matrix representation allows to prove their recursive construction in analogy to the complex power functions. This property can somehow be considered as a compensation for the loss of ultiplicativity caused by the non-commutativity of the underlying algebra. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/15314 |
DOI: | 10.1007/BF03321833 |
ISSN: | 2195-3724 |
Appears in Collections: | CIDMA - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Cacao_Falcao_Malonek_2012.pdf | final draft post-refereeing | 260 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.