Uniform Asymptotics of the Meixner Polynomials
| dc.creator | Wang, X. -S. | |
| dc.creator | Wong, R. | |
| dc.date | 2008-11-17 | |
| dc.date | 2009-04-08 | |
| dc.date.accessioned | 2026-07-07T13:01:04Z | |
| dc.date.available | 2026-07-07T13:01:04Z | |
| dc.description | Using the steepest descent method of Deift-Zhou, we derive locally uniform asymptotic formulas for the Meixner polynomials. These include an asymptotic formula in a neighborhood of the origin, a result which as far as we are aware has not yet been obtained previously. This particular formula involves a special function, which is the uniformly bounded solution to a scalar Riemann-Hilbert problem, and which is asymptotically (as the polynomial degree $n$ tends to infinity) equal to the constant $"1"$ except at the origin. Numerical computation by using our formulas, and comparison with earlier results, are also given. | |
| dc.description | 60 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/0811.2624 | |
| dc.identifier | http://arxiv.org/abs/0811.2624 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226040 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 41A60, 33C45 | |
| dc.title | Uniform Asymptotics of the Meixner Polynomials | |
| dc.type | text |