Sheffer and Non-Sheffer Polynomial Families

Sheffer and Non-Sheffer Polynomial Families

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.

Bibliographic Details
Main Authors: G. Dattoli, B. Germano, M. R. Martinelli, P. E. Ricci
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2012/323725
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spelling doaj-40c1821577da47a4ab127b7fee504ca32020-11-25T00:17:34ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/323725323725Sheffer and Non-Sheffer Polynomial FamiliesG. Dattoli0B. Germano1M. R. Martinelli2P. E. Ricci3Gruppo 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, ItalyDipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Sapienza Università di Roma, Via A. Scarpa 14, 00161 Roma, ItalyDipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Sapienza Università di Roma, Via A. Scarpa 14, 00161 Roma, ItalyInternational Telematic University Uninettuno, Corso Vittorio Emanuele II, 39 00186 Rome, ItalyBy 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.http://dx.doi.org/10.1155/2012/323725
collection DOAJ
language English
format Article
sources DOAJ
author G. Dattoli
B. Germano
M. R. Martinelli
P. E. Ricci
spellingShingle G. Dattoli
B. Germano
M. R. Martinelli
P. E. Ricci
Sheffer and Non-Sheffer Polynomial Families
International Journal of Mathematics and Mathematical Sciences
author_facet G. Dattoli
B. Germano
M. R. Martinelli
P. E. Ricci
author_sort G. Dattoli
title Sheffer and Non-Sheffer Polynomial Families
title_short Sheffer and Non-Sheffer Polynomial Families
title_full Sheffer and Non-Sheffer Polynomial Families
title_fullStr Sheffer and Non-Sheffer Polynomial Families
title_full_unstemmed Sheffer and Non-Sheffer Polynomial Families
title_sort sheffer and non-sheffer polynomial families
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2012-01-01
description 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.
url http://dx.doi.org/10.1155/2012/323725
work_keys_str_mv AT gdattoli shefferandnonshefferpolynomialfamilies
AT bgermano shefferandnonshefferpolynomialfamilies
AT mrmartinelli shefferandnonshefferpolynomialfamilies
AT pericci shefferandnonshefferpolynomialfamilies
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