The Andrews-Stanley partition function and Al-Salam-Chihara polynomials
| dc.creator | Ishikawa, Masao | |
| dc.creator | Zeng, Jiang | |
| dc.date | 2005-06-08 | |
| dc.date | 2006-06-09 | |
| dc.date.accessioned | 2026-07-07T06:40:12Z | |
| dc.date.available | 2026-07-07T06:40:12Z | |
| dc.description | We show that the sum of the four parameter weights over all ordinary or strict partitions with parts each less than or equal to a given integer $N$ is expressed by the Al-Salam Chihara polynomials. This weight is a generalization of the Andrews-Stanley partition function. As a corollary we prove C. Boulet's results when the sum runs over all ordinary or strict partitions. In the last section we study the weighted sum of Schur's $P$-functions and $Q$-functions, where the sum runs over all strict partitions. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/math/0506128 | |
| dc.identifier | http://arxiv.org/abs/math/0506128 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101336 | |
| dc.subject | Combinatorics | |
| dc.subject | Representation Theory | |
| dc.subject | 05E05 (Primary) 05A17, 05A30, 05E35, 33D15, 33D45 (Secondary) | |
| dc.title | The Andrews-Stanley partition function and Al-Salam-Chihara polynomials | |
| dc.type | text |