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      • Record: found
      • Abstract: found
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      Is Open Access

      On Sheffer polynomial families

      research-article

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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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          Exponential Polynomials

          E BELL (1934)
          Article 0 comments Cited 72 times – based on 0 reviews     Review now
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            The Iterated Exponential Integers

            E BELL (1938)
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              The poweroid, an extension of the mathematical notion of power

              J F Steffensen (1941)
              Article 0 comments Cited 9 times – based on 0 reviews     Review now
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                Author and article information

                Journal
                Journal ID (publisher-id): fopen
                Journal ID (url): https://www.4open-sciences.org
                Title: 4open
                Abbreviated Title: 4open
                Publisher: EDP Sciences
                ISSN (Electronic): 2557-0250
                Publication date Final: 25 April 2019
                Publication date (Electronic): 25 April 2019
                Publication date (Print): 2019
                Volume: 2
                Issue: ( publisher-idID: fopen/2019/01 )
                Electronic Location Identifier: 4
                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
                Publisher ID: fopen180039
                DOI: 10.1051/fopen/2019004
                SO-VID: f01856dc-52d3-4ca7-a501-8689f2b4617a
                Copyright © © S. Pinelas & P.E. Ricci, Published by EDP Sciences, 2019
                License:

                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.

                History
                Date received : 16 October 2018
                Date accepted : 22 February 2019
                Page count
                Figures: 0, Tables: 0, Equations: 93, References: 25, Pages: 9
                Categories
                Subject: Mathematics - Applied Mathematics
                Subject: Research Article
                Subject: Difference & Differential Equations and Applications
                Custom metadata
                idline 4open 2019, 2, 4
                cover_date 2019
                first_year 2019
                last_year 2019

                ScienceOpen disciplines: Medicine,Chemistry,Physics,Mathematics,Materials science,Life sciences
                Keywords: Monomiality principle,Combinatorial analysis,Sheffer polynomial families,Fractional derivative equations,Generating functions
                Data availability:
                ScienceOpen disciplines: Medicine, Chemistry, Physics, Mathematics, Materials science, Life sciences
                Keywords: Monomiality principle, Combinatorial analysis, Sheffer polynomial families, Fractional derivative equations, Generating functions

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