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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
DOI: 10.1007/978-3-031-37105-9_45
ISBN: 978-3-031-37104-2
Publisher Version:
Appears in Collections:CIDMA - Capítulo de livro
CHAG - Capítulo de livro

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