International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 323725, 8 pages
http://dx.doi.org/10.1155/2012/323725
Research Article

Sheffer and Non-Sheffer Polynomial Families

G. Dattoli,1 B. Germano,2 M. R. Martinelli,2 and P. E. Ricci3

1Gruppo Fisica Teorica e Matematica Applicata, Unità Tecnico Scientifica Tecnologie Fisiche Avanzate, ENEA-Centro Ricerche Frascati, C.P. 65, Via Enrico Fermi 45, 00044 Frascati, Rome, Italy
2Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Sapienza Università di Roma, Via A. Scarpa 14, 00161 Roma, Italy
3International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39 00186 Rome, Italy

Received 20 March 2012; Accepted 25 May 2012

Academic Editor: Taekyun Kim

Copyright © 2012 G. Dattoli et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

By using the integral transform method, we introduce some non-Sheffer polynomial sets. Furthermore, we show how to compute the connection coefficients for particular expressions of Appell polynomials.