Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/45794
Título: | Hypercomplex polynomials, vietoris’ rational numbers and a related integer numbers sequence |
Autor(es): | Cação, Isabel Falcão, M. I. Malonek, Helmuth |
Palavras-chave: | Vietoris’ number sequence Monogenic Appell polynomials Generating functions |
Data: | 2017 |
Editora: | Springer Verlag |
Revista: | Complex Analysis and Operator Theory |
Resumo(s): | This paper aims to give new insights into homogeneous hypercomplex Appell polynomials through the study of some interesting arithmetical properties of their coefficients. Here Appell polynomials are introduced as constituting a hypercomplex generalized geometric series whose fundamental role sometimes seems to have been neglected. Surprisingly, in the simplest non-commutative case their rational coefficient sequence reduces to a coefficient sequence S used in a celebrated theorem on positive trigonometric sums by Vietoris (Sitzungsber Österr Akad Wiss 167:125–135, 1958). For S a generating function is obtained which allows to derive an interesting relation to a result deduced by Askey and Steinig (Trans AMS 187(1):295–307, 1974) about some trigonometric series. The further study of S is concerned with a sequence of integers leading to its irreducible representation and its relation to central binomial coefficients. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/45794 |
DOI: | 10.1007/s11785-017-0649-5 |
ISSN: | 1661-8254 |
e-ISSN: | 1661-8262 |
Versão da editora: | http://dx.doi.org/10.1007/s11785-017-0649-5 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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CAOT2017-Repositorium.pdf | 397,95 kB | Adobe PDF | Ver/Abrir |