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      On Sheffer polynomial families

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          Abstract

          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.

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          Most cited references 20

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          Exponential Polynomials

           E BELL (1934)
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            The Iterated Exponential Integers

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              The poweroid, an extension of the mathematical notion of power

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                Author and article information

                Journal
                fopen
                https://www.4open-sciences.org
                4open
                4open
                EDP Sciences
                2557-0250
                25 April 2019
                25 April 2019
                2019
                : 2
                : ( publisher-idID: fopen/2019/01 )
                Affiliations
                [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,
                Author notes
                [* ]Corresponding author: paoloemilioricci@ 123456gmail.com
                Article
                fopen180039
                10.1051/fopen/2019004
                © 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.

                Page count
                Figures: 0, Tables: 0, Equations: 93, References: 25, Pages: 9
                Product
                Self URI (journal page): https://www.4open-sciences.org/
                Categories
                Mathematics - Applied Mathematics
                Research Article
                Difference & Differential Equations and Applications
                Custom metadata
                4open 2019, 2, 4
                2019
                2019
                2019

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