Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/20134
Título: | Matrix representations of a special polynomial sequence in arbitrary dimension |
Autor(es): | Cação, I. Falcão, M. I. Malonek, H. R. |
Palavras-chave: | Special polynomial sequence Monogenic function Matrix representation |
Data: | 2012 |
Editora: | Heldermann Verlag |
Revista: | Computational Methods and Function Theory |
Resumo(s): | 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 multiplicativity caused by the non-commutativity of the underlying algebra. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/20134 |
ISSN: | 1617-9447 |
Versão da editora: | http://www.heldermann-verlag.de/cmf/cmf12/cmf12025.pdf |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | DMA - Artigos (Papers) |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
CacaoFalcaoMalonek_CMFT_2012.pdf | Documento principal | 260 kB | Adobe PDF | Ver/Abrir |