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http://hdl.handle.net/10773/24665
Title: | Vietoris' number sequence and its generalizations through hypercomplex function theory |
Author: | Cação, Isabel Falcão, M. I. Malonek, Helmuth |
Keywords: | Vietoris' number sequence Monogenic Appell polynomials Generating functions |
Issue Date: | 1-Nov-2018 |
Abstract: | The so-called Vietoris' number sequence is a sequence of rational numbers that appeared for the rst time in a celebrated theorem by Vietoris (1958) about the positivity of certain trigonometric sums with important applications in harmonic analysis (Askey/Steinig, 1974) and in the theory of stable holomorphic functions (Ruscheweyh/ Salinas, 2004). In the context of hypercomplex function theory those numbers appear as coe cients of special homogeneous polynomials in R3 whose generalization to an arbitrary dimension n lead to a n-parameter generalized Vietoris' number sequence that characterizes hypercomplex Appell polynomials in Rn. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/24665 |
Publisher Version: | http://micopam2018.akdeniz.edu.tr/wp-content/uploads/2018/10/Proceedings_Book_of_MICOPAM2018.pdf#page=176 |
Appears in Collections: | CIDMA - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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ProcMICOPAM2018_Cacao.pdf | 417.99 kB | Adobe PDF | View/Open |
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