A unified matrix approach to the representation of Appell polynomials

L. Aceto, H. R. Malonek, G. Tomaz

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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.

Lingua originaleInglese
pagine (da-a)426-441
Numero di pagine16
RivistaIntegral Transforms and Special Functions
Volume26
Numero di pubblicazione6
DOI
Stato di pubblicazionePubblicato - 3 giu 2015
Pubblicato esternamente

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