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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
DOI: 10.1080/10652469.2015.1013035
ISSN: 1065-2469
Appears in Collections:CIDMA - Artigos
CHAG - Artigos

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