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Intrinsic properties of a non-symmetric number triangle

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Resumo:Several authors are currently working on generalized Appell polynomials and their applications in the framework of hypercomplex function theory in Rn+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.
Autores principais:Cação, Isabel
Outros Autores:Malonek, Helmuth R.; Falcão, M. I.; Tomaz, Graça
Assunto:Fibonacci sequence Hypercomplex function theory Hyperge-ometric function Recurrence relation Ciências Naturais::Matemáticas
Ano:2023
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho

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