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.
| Main Authors: | , , , |
|---|---|
| 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 |
| _version_ | 1798043819217780736 |
|---|---|
| author | G. Dattoli B. Germano M. R. Martinelli P. E. Ricci |
| author_facet | G. Dattoli B. Germano M. R. Martinelli P. E. Ricci |
| author_sort | G. Dattoli |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-11T22:54:19Z |
| format | Article |
| id | doaj.art-40c1821577da47a4ab127b7fee504ca3 |
| institution | Directory Open Access Journal |
| issn | 0161-1712 1687-0425 |
| language | English |
| last_indexed | 2024-04-11T22:54:19Z |
| publishDate | 2012-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj.art-40c1821577da47a4ab127b7fee504ca32022-12-22T03:58:28ZengHindawi 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 |
| spellingShingle | G. Dattoli B. Germano M. R. Martinelli P. E. Ricci Sheffer and Non-Sheffer Polynomial Families International Journal of Mathematics and Mathematical Sciences |
| title | 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_short | Sheffer and Non-Sheffer Polynomial Families |
| title_sort | sheffer and non sheffer polynomial families |
| 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 |