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http://hdl.handle.net/10773/40087| 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 |
| URI: | http://hdl.handle.net/10773/40087 |
| DOI: | 10.1063/5.0163287 |
| Publisher Version: | https://pubs.aip.org/aip/acp/article-abstract/2849/1/060012/2909002/Generalized-Vietoris-number-sequences-from-real?redirectedFrom=PDF |
| Appears in Collections: | CIDMA - Artigos CHAG - Capítulo de livro |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 1502748_0_cnvrt_file_23146379_nh3q3x.pdf | 98.29 kB | Adobe PDF | View/Open |
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