Elementary derivations of summations and transformation formulas for q-series
| dc.creator | Gasper Jr, George | |
| dc.date | 1996-05-19 | |
| dc.date.accessioned | 2026-07-07T09:15:32Z | |
| dc.date.available | 2026-07-07T09:15:32Z | |
| dc.description | We present some elementary derivations of summation and transformation formulas for q-series, which are different from, and in several cases simpler or shorter than, those presented in the Gasper and Bahman [1990] "Basic Hypergeometric Series" book (which we will refer to as BHS), the Bailey [1935] and Slater [1966] books, and in some papers; thus providing deeper insights into the theory of q-series. Our main emphasis is on methods that can be used to derive formulas, rather than to just verify previously derived or conjectured formulas. In section 5 this approach leads to the derivation of a new family of summation formulas for very well poised basic hypergeometric series _{6+2k}W_{5+2k}, k = 1,2,.... Several of the observations in this paper were presented, along with related exercises, in the author's minicourse on "q-Series" at the Fields Institute miniprogram on "Special functions, q-Series and Related Topics," June 12-14, 1995. | |
| dc.identifier | https://arxiv.org/abs/math/9605230 | |
| dc.identifier | http://arxiv.org/abs/math/9605230 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153048 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Quantum Algebra | |
| dc.title | Elementary derivations of summations and transformation formulas for q-series | |
| dc.type | text |