ON THE SPACINGS BETWEEN THE SUCCESSIVE ZEROS OF THE LAGUERRE POLYNOMIALS
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | ON THE SPACINGS BETWEEN THE SUCCESSIVE ZEROS OF THE LAGUERRE POLYNOMIALS |
| Type de publication | Journal Article |
| Year of Publication | 2015 |
| Auteurs | Chretien S, Darses S |
| Journal | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY |
| Volume | 143 |
| Pagination | 4383-4388 |
| Date Published | OCT |
| Type of Article | Article |
| ISSN | 0002-9939 |
| Résumé | We propose a simple uniform lower bound on the spacings between the successive zeros of the Laguerre polynomials L-n((alpha)) for all alpha > -1. Our bound is sharp regarding the order of dependency on n and alpha in various ranges. In particular, we recover the orders given in a work of Ahmed, Laforgia and Muldoon (1982) for alpha is an element of (- 1, 1]. |
| DOI | 10.1090/proc/12574 |