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Escola Superior de Tecnologia e Gestão (ESTG) >
Artigos em Acta de Conferência Internacional (ESTG) >
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http://hdl.handle.net/10314/2724
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| Título: | On block matrices of pascal type in clifford analysis |
| Autores: | Tomaz, Graça |
| Palavras Chave: | Hypercomplex Bernoulli polynomials
Hypercomplex Euler polynomials
Block Pascal matrix
Hypercomplex Bernoulli matrix |
| Data: | Jul-2009 |
| Resumo: | Since the 90-ties the Pascal matrix, its generalizations and applications have been in focus of a great amount of publications. As it is well known, the Pascal matrix, the symmetric Pascal matrix and other special matrices of Pascal type play an important role in many scientific areas, among them Numerical Analysis, Combinatorics, Number Theory, Probability, Image processing, Sinal processing, Electrical enginneering, etc. We present a unified approach to matrix representations of special polynomials in several hypercomplex variables (new Bernoulli, Euler etc. polynomials), extending results of H. Malonek, G.Tomaz: Bernoulli polynomials and Pascal matrices in the context of Clifford Analysis, Discrete Appl. Math. 157(4) (2009) 838-847.
The hypercomplex version of a new Pascal matrix with block structure, which resembles the ordinary one for polynomials of one variable will be discussed in detail. |
| URI: | http://hdl.handle.net/10314/2724 |
| Aparece nas Colecções: | Artigos em Acta de Conferência Internacional (ESTG)
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Ficheiros deste Registo:
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| graça_tomaz.pdf | | 153Kb | Adobe PDF | Ver/Abrir | |
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