Asymptotic analysis of generalized Hermite polynomials
| dc.creator | Dominici, Diego | |
| dc.date | 2006-06-14 | |
| dc.date.accessioned | 2026-07-07T07:17:15Z | |
| dc.date.available | 2026-07-07T07:17:15Z | |
| dc.description | We analyze the polynomials $H_{n}^{r}(x)$ considered by Gould and Hopper, which generalize the classical Hermite polynomials. We present the main properties of $H_{n}^{r}(x)$ and derive asymptotic approximations for large values of $n$ from their differential-difference equation, using a discrete ray method. We give numerical examples showing the accuracy of our formulas. | |
| dc.description | 28 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/math/0606324 | |
| dc.identifier | http://arxiv.org/abs/math/0606324 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113875 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 33C45 (Primary) 34E05, 34E20 (Secondary) | |
| dc.title | Asymptotic analysis of generalized Hermite polynomials | |
| dc.type | text |