Asymptotic analysis of the Krawtchouk polynomials by the WKB method
| dc.creator | Dominici, Diego | |
| dc.date | 2005-01-04 | |
| dc.date | 2005-01-04 | |
| dc.date.accessioned | 2026-07-07T05:15:49Z | |
| dc.date.available | 2026-07-07T05:15:49Z | |
| dc.description | We analyze the Krawtchouk polynomials K(n,x,N,p,q) asymptotically. We use singular perturbation methods to analyze them for N large with appropriate scalings of the two variables x and n. In particular, the WKB method and asymptotic matching are used. We obtain asymptotic approximations valid in the whole domain [0,N]x[0,N] involving some special functions. We give numerical examples showing the accuracy of our formulas. | |
| dc.description | 41 pages, 14 figures | |
| dc.identifier | https://arxiv.org/abs/math/0501042 | |
| dc.identifier | http://arxiv.org/abs/math/0501042 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73760 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 33C45 (Primary) 34E20, 34E05 (Secondary) | |
| dc.title | Asymptotic analysis of the Krawtchouk polynomials by the WKB method | |
| dc.type | text |