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http://hdl.handle.net/10773/40059
Title: | Remarks on the Vietoris sequence and corresponding convolution formulas |
Author: | Cação, Isabel Falcão, M. Irene Malonek, Helmuth R. Miranda, Fernando Tomaz, Graça |
Keywords: | Sequences Central binomial coefficients Convolution triangles Clifford Algebra |
Issue Date: | 23-Jun-2023 |
Publisher: | Springer |
Abstract: | In this paper we consider the so-called Vietoris sequence, a sequence of rational numbers of the form ck=12k(k⌊k2⌋), k= 0, 1, ⋯. This sequence plays an important role in many applications and has received a lot of attention over the years. In this work we present the main properties of the Vietoris sequence, having in mind its role in the context of hypercomplex function theory. Properties and patterns of the convolution triangles associated with (ck)k are also presented. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/40059 |
DOI: | 10.1007/978-3-031-37105-9_45 |
ISBN: | 978-3-031-37104-2 |
Publisher Version: | https://link.springer.com/chapter/10.1007/978-3-031-37105-9_45 |
Appears in Collections: | CIDMA - Capítulo de livro CHAG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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CHAG-RIA-CacaoFalcaoMalonekMirandaTomaz2023.pdf | 403.72 kB | Adobe PDF | View/Open |
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