The Hermite polynomials and the Bessel functions from a general point of view
We introduce new families of Hermite polynomials and of Bessel functions from a point of view involving the use of nonexponential generating functions. We study their relevant recurrence relations and show that they satisfy differential-difference equations which are isospectral to those of the ordi...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203211133 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564099805872128 |
|---|---|
| author | G. Dattoli H. M. Srivastava D. Sacchetti |
| author_facet | G. Dattoli H. M. Srivastava D. Sacchetti |
| author_sort | G. Dattoli |
| collection | DOAJ |
| description | We introduce new families of Hermite polynomials and of Bessel
functions from a point of view involving the use of
nonexponential generating functions. We study their relevant
recurrence relations and show that they satisfy
differential-difference equations which are isospectral to those
of the ordinary case. We also indicate the usefulness of some of
these new families. |
| format | Article |
| id | doaj-art-021790492a7c4fb1b1029d44f32ce6f6 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-021790492a7c4fb1b1029d44f32ce6f62025-02-03T01:11:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003573633364210.1155/S0161171203211133The Hermite polynomials and the Bessel functions from a general point of viewG. Dattoli0H. M. Srivastava1D. Sacchetti2Unita Tecnico Scientificà Tecnologie Fisiche, Gruppo Fisica Teorica e Matematica Applicata, Ente Nationale per le Nuove Tecnologie, l'Energia e l'Ambiente Via Enrico Fermi 45, Roma, Frascati 00044, ItalyDepartment of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3P4, CanadaDipartimento di Statistica, Probabilitá e Statistiche Applicate, Università degli Studi di Roma “La Sapienza”, Piazzale Aldo Moro 5, Roma 00185, ItalyWe introduce new families of Hermite polynomials and of Bessel functions from a point of view involving the use of nonexponential generating functions. We study their relevant recurrence relations and show that they satisfy differential-difference equations which are isospectral to those of the ordinary case. We also indicate the usefulness of some of these new families.http://dx.doi.org/10.1155/S0161171203211133 |
| spellingShingle | G. Dattoli H. M. Srivastava D. Sacchetti The Hermite polynomials and the Bessel functions from a general point of view International Journal of Mathematics and Mathematical Sciences |
| title | The Hermite polynomials and the Bessel functions from a general point of view |
| title_full | The Hermite polynomials and the Bessel functions from a general point of view |
| title_fullStr | The Hermite polynomials and the Bessel functions from a general point of view |
| title_full_unstemmed | The Hermite polynomials and the Bessel functions from a general point of view |
| title_short | The Hermite polynomials and the Bessel functions from a general point of view |
| title_sort | hermite polynomials and the bessel functions from a general point of view |
| url | http://dx.doi.org/10.1155/S0161171203211133 |
| work_keys_str_mv | AT gdattoli thehermitepolynomialsandthebesselfunctionsfromageneralpointofview AT hmsrivastava thehermitepolynomialsandthebesselfunctionsfromageneralpointofview AT dsacchetti thehermitepolynomialsandthebesselfunctionsfromageneralpointofview AT gdattoli hermitepolynomialsandthebesselfunctionsfromageneralpointofview AT hmsrivastava hermitepolynomialsandthebesselfunctionsfromageneralpointofview AT dsacchetti hermitepolynomialsandthebesselfunctionsfromageneralpointofview |