A note on a one-parameter family of non-symmetric number triangles
| Autor: | Helmuth R. Malonek, Maria Irene Falcão |
|---|---|
| Přispěvatelé: | Universidade do Minho |
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Polynomial
Number triangle General Mathematics 010103 numerical & computational mathematics Pascal's triangle 01 natural sciences Combinatorics symbols.namesake Clifford Analysis Central binomial coe cient Arithmetic function Computer Science::Symbolic Computation Appell sequence Central binomial coefficient 0101 mathematics central binomial coefficient Binomial coefficient Generalized Appell polynomials Clifford analysis Mathematics Science & Technology lcsh:T57-57.97 010102 general mathematics Binomial identity generalized Appell polynomials Gaussian binomial coefficient number triangle lcsh:Applied mathematics. Quantitative methods symbols binomial identity |
| Zdroj: | Opuscula Mathematica, Vol 32, Iss 4, Pp 661-673 (2012) Repositório Científico de Acesso Aberto de Portugal Repositório Científico de Acesso Aberto de Portugal (RCAAP) instacron:RCAAP |
| ISSN: | 1232-9274 |
| Popis: | 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. Fundação para a Ciência e a Tecnologia (FCT) |
| Databáze: | OpenAIRE |
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