The combinatorics of associated Hermite polynomials
| dc.creator | Drake, Dan | |
| dc.date | 2007-09-07 | |
| dc.date | 2008-05-16 | |
| dc.date.accessioned | 2026-07-07T12:48:48Z | |
| dc.date.available | 2026-07-07T12:48:48Z | |
| dc.description | We develop a combinatorial model of the associated Hermite polynomials and their moments, and prove their orthogonality with a sign-reversing involution. We find combinatorial interpretations of the moments as complete matchings, connected complete matchings, oscillating tableaux, and rooted maps and show weight-preserving bijections between these objects. Several identities, linearization formulas, the moment generating function, and a second combinatorial model are also derived. | |
| dc.description | [v1]: 18 pages, 16 figures; presented at FPSAC 2007 [v2]: Some minor errors fixed (thanks Bill Chen, Jang Soo Kim) and text rearranged and cleaned up; no real content changes [v3]: fixed typos, to appear in European J. Combinatorics | |
| dc.identifier | https://arxiv.org/abs/0709.0987 | |
| dc.identifier | http://arxiv.org/abs/0709.0987 | |
| dc.identifier | European J. Combinatorics, May 2009, vol 30 no 4, pp 1005-1021 | |
| dc.identifier | doi:10.1016/j.ejc.2008.05.009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222184 | |
| dc.subject | Combinatorics | |
| dc.subject | 05E35 (Primary); 33C45 (Secondary) | |
| dc.title | The combinatorics of associated Hermite polynomials | |
| dc.type | text |