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Title: Generalized Vietoris’ number sequences from real and hypercomplex points of view
Author: Cação, I.
Malonek, H. R.
Falcão, M. I.
Tomaz, G.
Keywords: Vietoris' number sequence
Hypercomplex Analysis
Jacobi polynomials
Issue Date: 1-Sep-2023
Publisher: AIP Publishing
Abstract: We revisit a special rational number sequence, introduced by L. Vietoris in 1958 in the study of the positivity of some trigonometric sums and used in other contexts by several authors. The aim of the present paper is to embrace and explore real and hypercomplex analytical methods to obtain generalizations of that rational number sequence, where Jacobi polynomials and generalized Appell polynomials are involved.
Peer review: yes
DOI: 10.1063/5.0163287
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Appears in Collections:CIDMA - Artigos
CHAG - Capítulo de livro

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