Bell–Sheffer exponential polynomials of the second kind-Reference-Cited by-同舟云学术

Bell–Sheffer exponential polynomials of the second kind

Published:2020-03-10 Issue:1 Volume:28 Page:125-132
ISSN:1572-9176
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Natalini Pierpaolo¹,Ricci Paolo Emilio²^ORCID

Affiliation:

1. Dipartimento di Matematica e Fisica , Università degli Studi Roma Tre , Largo San Leonardo Murialdo, 1, 00146 Rome , Italy

2. Dipartimento di Matematica , International Telematic University UniNettuno , Corso Vittorio Emanuele II, 39, 00186 Rome , Italy

Abstract

Abstract In recent papers, new sets of Sheffer and Brenke polynomials based on higher order Bell numbers and several integer sequences related to them have been studied. In the present paper, new sets of Bell–Sheffer polynomials are introduced. Connections with Bell numbers are shown.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference26 articles.

1. E. T. Bell, Exponential polynomials, Ann. of Math. (2) 35 (1934), no. 2, 258–277.

2. E. T. Bell, The iterated exponential integers, Ann. of Math. (2) 39 (1938), no. 3, 539–557.

3. Y. Ben Cheikh, Some results on quasi-monomiality, Appl. Math. Comput. 141 (2003), 63–76.

4. A. Bernardini, P. Natalini and P. E. Ricci, Multidimensional Bell polynomials of higher order, Comput. Math. Appl. 50 (2005), no. 10–12, 1697–1708.

5. A. Bernardini and P. E. Ricci, Bell polynomials and differential equations of Freud-type polynomials, Math. Comput. Modelling 36 (2002), no. 9–10, 1115–1119.

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