Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/40086
Title: | Intrinsic properties of a non-symmetric number triangle |
Author: | Cação, Isabel Malonek, Helmuth R. Falcão, M. Irene Tomaz, Graça |
Keywords: | Fibonacci sequence Hypergeometric function Hypercomplex analysis Recurrence relation |
Issue Date: | 2023 |
Publisher: | University of Waterloo |
Abstract: | 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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/40086 |
ISSN: | 1530-7638 |
Publisher Version: | https://cs.uwaterloo.ca/journals/JIS/VOL26/Falcao/falcao5.pdf |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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CHAG-RIA_JIS.pdf | 261.8 kB | Adobe PDF | View/Open |
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