The $\bal$\ and $\bcl$\ Bailey Transform and Lemma
| dc.creator | Milne, Stephen C. | |
| dc.creator | Lilly, Glenn M. | |
| dc.date | 1992-04-01 | |
| dc.date.accessioned | 2026-07-07T09:14:46Z | |
| dc.date.available | 2026-07-07T09:14:46Z | |
| dc.description | We announce a higher-dimensional generalization of the Bailey Transform, Bailey Lemma, and iterative ``Bailey chain'' concept in the setting of basic hypergeometric series very well-poised on unitary $A_{\ell}$ or symplectic $C_{\ell}$ groups. The classical case, corresponding to $A_1$ or equivalently $\roman U(2)$, contains an immense amount of the theory and application of one-variable basic hypergeometric series, including elegant proofs of the Rogers-Ramanujan-Schur identities. In particular, our program extends much of the classical work of Rogers, Bailey, Slater, Andrews, and Bressoud. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/9204236 | |
| dc.identifier | http://arxiv.org/abs/math/9204236 | |
| dc.identifier | Bull. Amer. Math. Soc. (N.S.) 26 (1992) 258-263 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152796 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | The $\bal$\ and $\bcl$\ Bailey Transform and Lemma | |
| dc.type | text |