Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/22218
Título: | A note on a one-parameter family of non-symmetric number triangles |
Autor(es): | Falcão, M. I. Malonek, H. R. |
Palavras-chave: | Clifford Analysis Generalized Appell polynomials Number triangle Central binomial coe cient Binomial identity Central binomial coefficient |
Data: | Dez-2012 |
Editora: | AGH University of Science and Technology Press |
Revista: | Opuscula Mathematica |
Resumo(s): | The recently growing interest in special Cliff ord Algebra valued polynomial solutions of generalized Cauchy-Riemann systems in (n + 1)-dimensional Euclidean spaces suggested a detailed study of the arithmetical properties of their coe fficients, due to their combinatoric relevance. This concerns, in particular, a generalized Appell sequence of homogeneous polynomials whose coe cient's set can be treated as a one-parameter family of non-symmetric triangles of fractions. The discussion of its properties, similar to those of the ordinary Pascal triangle (which itself does not belong to the family), is carried out in this paper. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/22218 |
DOI: | 10.7494/OpMath.2012.32.4.661 |
ISSN: | 1232−9274 |
Versão da editora: | http://www.opuscula.agh.edu.pl/vol32/4/art/opuscula_math_3246.pdf |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | DMA - Artigos (Papers) |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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Falcao_Malonek_Opuscula2012.pdf | 326,27 kB | Adobe PDF | Ver/Abrir |