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Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10314/8350
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| Título: | Intrinsic Properties of a Non-Symmetric Number Triangle |
| Autores: | Cação, Isabel
Malonek, Helmuth R.
Falcão, M. Irene
Tomaz, Graça |
| Palavras Chave: | Fibonacci sequence
recurrence relation
hypercomplex function theory
hypergeometric function |
| Data: | 14-May-2023 |
| Editora: | Journal of Integer Sequences |
| Relatório da Série N.º: | Article 23.4.8 |
| Resumo: | Several authors are currently working on generalized Appell polynomials and their
applications in the framework of hypercomplex function theory in R^{n+1}. A few years
ago, two of the authors of this paper introduced a prototype of these generalized Appell polynomials, which heavily draws on a one-parameter family of non-symmetric number
triangles T(n), n ≥ 2. In this paper, we prove several new and interesting properties of finite and infinite sums constructed from entries of T(n), similar to the ordinary Pascal triangle, which is not a part of that family. In particular, we obtain a recurrence relation for a family of finite sums, analogous to the ordinary Fibonacci sequence, and derive its corresponding generating function. |
| URI: | http://hdl.handle.net/10314/8350 |
| ISSN: | 1530-7638 |
| Aparece nas Colecções: | Artigos em Revista Internacional (ESTG)
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Ficheiros deste Registo:
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Descrição |
Tamanho | Formato |
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| publicado-2023.pdf | | 141Kb | Adobe PDF | Ver/Abrir | |
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