Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/15214
Title: | A unified matrix approach to the representation of Appell polynomials |
Author: | Aceto, L. Malonek, H. R. Tomaz, G. |
Keywords: | Appell polynomials Binomial theorem Creation matrix Pascal matrix |
Issue Date: | 3-Jun-2015 |
Publisher: | Taylor and Francis |
Abstract: | In this paper, we propose a unified approach to matrix representations of different types of Appell polynomials. This approach is based on the creation matrix – a special matrix which has only the natural numbers as entries and is closely related to the well-known Pascal matrix. By this means, we stress the arithmetical origins of Appell polynomials. The approach also allows to derive, in a simplified way, the properties of Appell polynomials by using only matrix operations. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/15214 |
DOI: | 10.1080/10652469.2015.1013035 |
ISSN: | 1065-2469 |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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1406.1444v1.pdf | pre-print (arXiv) | 197.74 kB | Adobe PDF | View/Open |
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