Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/45680
Título: | Three-term recurrence relations for systems of Clifford algebra-valued orthogonal polynomials |
Autor(es): | Cação, I. Falcão, M. I. Malonek, H. |
Palavras-chave: | Clifford Analysis generalized Appell polynomials recurrence relations |
Data: | Mar-2017 |
Editora: | Springer Verlag |
Revista: | Advances in Applied Clifford Algebras |
Resumo(s): | Recently, systems of Clifford algebra-valued orthogonal polynomials have been studied from different points of view. We prove in this paper that for their building blocks there exist some three-term recurrence relations, similar to that for orthogonal polynomials of one real variable. As a surprising byproduct of own interest we found out that the whole construction process of Clifford algebra-valued orthogonal polynomials via Gelfand-Tsetlin basis or otherwise relies only on one and the same basic Appell sequence of polynomials. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/45680 |
DOI: | 10.1007/s00006-015-0596-z |
ISSN: | 0188-7009 |
e-ISSN: | 1661-4909 |
Versão da editora: | http://link.springer.com/article/10.1007/s00006-015-0596-z |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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AACA2017-Repositorium.pdf | 381,53 kB | Adobe PDF | Ver/Abrir |