New Identities for Hall-Littlewood Polynomials and Applications |
| |
Authors: | Email author" target="_blank">Frédéric?JouhetEmail author Jiang?Zeng |
| |
Institution: | (1) Institut Camille Jordan, Université Claude Bernard (Lyon 1), 43, bd du 11 Novembre 1918, 69622 Villeurbanne Cedex, France |
| |
Abstract: | Starting from Macdonald's summation formula of Hall-Littlewood polynomials over bounded partitions and its even partition
analogue, Stembridge (Trans. Amer. Math. Soc., 319(2), (1990) 469–498) derived sixteen multiple q-identities of Rogers–Ramanujan type. Inspired by our recent results on Schur functions (Adv. Appl. Math., 27, (2001) 493–509) and based on computer experiments we obtain two further such summation formulae of Hall-Littlewood polynomials
over bounded partitions and derive six new multiple q-identities of Rogers–Ramanujan type.
2000 Mathematics Subject Classification: Primary–05A19; Secondary–05A17, 05A30 |
| |
Keywords: | Hall-Littlewood polynomials identities of Rogers-Ramanujan type |
本文献已被 SpringerLink 等数据库收录! |
|