The $(f,g)$-inversion formula and its applications: the $(f,g)$-summation formula
| dc.creator | Ma, Xinrong | |
| dc.date | 2005-05-03 | |
| dc.date | 2005-06-21 | |
| dc.date.accessioned | 2026-07-07T05:19:36Z | |
| dc.date.available | 2026-07-07T05:19:36Z | |
| dc.description | A complete characterization of two functions $f(x,y)$ and $g(x,y)$ in the $(f,g)$-inversion is presented. As an application to the theory of hypergeometric series, a general bibasic summation formula determined by $f(x,y)$ and $g(x,y)$ as well as four arbitrary sequences is obtained which unifies Gasper and Rahman's, Chu's and Macdonald's bibasic summation formula. Furthermore, an alternative proof of the $(f,g)$-inversion derived from the $(f,g)$-summation formula is presented. A bilateral $(f,g)$-inversion containing Schlosser's bilateral matrix inversion as a special case is also obtained. | |
| dc.description | 33 pages | |
| dc.identifier | https://arxiv.org/abs/math/0505042 | |
| dc.identifier | http://arxiv.org/abs/math/0505042 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75073 | |
| dc.subject | Combinatorics | |
| dc.subject | 05A10;33C20 | |
| dc.title | The $(f,g)$-inversion formula and its applications: the $(f,g)$-summation formula | |
| dc.type | text |