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 originale | Inglese |
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pagine (da-a) | 426-441 |
Numero di pagine | 16 |
Rivista | Integral Transforms and Special Functions |
Volume | 26 |
Numero di pubblicazione | 6 |
DOI | |
Stato di pubblicazione | Pubblicato - 3 giu 2015 |
Pubblicato esternamente | Sì |