| Issue |
4open
Volume 2, 2019
Difference & Differential Equations and Applications
|
|
|---|---|---|
| Article Number | 4 | |
| Number of page(s) | 9 | |
| Section | Mathematics - Applied Mathematics | |
| DOI | https://doi.org/10.1051/fopen/2019004 | |
| Published online | 25 April 2019 | |
Research Article
On Sheffer polynomial families
1
Academia Militar – Departamento de Ciências Exactas e Engenharia, Av. Conde Castro Guimarães, 2720-113, Amadora, Portugal
2
International Telematic University UniNettuno, Corso Vittorio Emanuele II, 39, 00186, Roma, Italia
* Corresponding author: paoloemilioricci@gmail.com
Received:
16
October
2018
Accepted:
22
February
2019
Attention is focused to particular families of Sheffer polynomials which are different from the classical ones because they satisfy non-standard differential equations, including some of fractional type. In particular Sheffer polynomial families are considered whose characteristic elements are based on powers or exponential functions.
Key words: Sheffer polynomial families / Generating functions / Monomiality principle / Fractional derivative equations / Combinatorial analysis
© S. Pinelas & P.E. Ricci, Published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.