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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.35 (2003) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4173
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| Title: | From Hermite to Humbert polynomials |
| Authors: | Dattoli, G.
Lorenzutta, S.
Cesarano, C. |
| Keywords: | Gegenbauer polynomials
Hermite polynomials
Humbert polynomials |
| Issue Date: | 2003 |
| Publisher: | Università degli Studi di Trieste. Dipartimento di Matematica e Informatica |
| Citation: | G. Dattoli, S. Lorenzutta, C. Cesarano, "From Hermite to Humbert polynomials", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 35 (2003), pp. 37-48. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
35 (2003) |
| Abstract: | We use the multivariable Hermite polynomials to derive integral representations of Chebyshev and Gegenbauer polynomials. It is shown that most of the properties of these classes of
polynomials can be deduced in a fairly straightforward way from
this representation, which proves a unifying framework for a large
body of polynomial families, including forms of the Humbert and
Bessel type, which are a natural consequence of the point of view
developed in this paper. |
| URI: | http://hdl.handle.net/10077/4173 |
| ISSN: | 0049-4704 |
| MS Classification: | 33C45
33C50
44A45 |
| Appears in Collections: | Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.35 (2003)
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