Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/15314
Título: | Matrix representations of a special polynomial sequence in arbitrary dimension |
Autor: | Cação, Isabel Falcão, Maria Irene Malonek, Helmuth Robert |
Palavras-chave: | Special polynomial sequence Monogenic function Matrix representation |
Data: | Dez-2012 |
Editora: | Springer Verlag |
Resumo: | 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 |
Aparece nas coleções: | CIDMA - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
Cacao_Falcao_Malonek_2012.pdf | final draft post-refereeing | 260 kB | Adobe PDF | Ver/Abrir |
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