On q-summation and confluence
| dc.creator | Di Vizio, Lucia | |
| dc.creator | Zhang, Changgui | |
| dc.date | 2007-09-11 | |
| dc.date | 2008-02-28 | |
| dc.date.accessioned | 2026-07-07T09:23:27Z | |
| dc.date.available | 2026-07-07T09:23:27Z | |
| dc.description | This paper is divided in two parts. In the first part we consider irregular singular analytic q-difference equations, with q\in ]0,1[, and we show how the Borel sum of a divergent solution of a differential equation can be uniformly approximated on a convenient sector by a meromorphic solution of such a q-difference equation. In the second part, we work under the assumption q\in ]1,+\infty[. In this case, at least four different q-Borel sums of a divergent solution of an irregular singular analytic q-difference equations are spread in the literature: under convenient assumptions we clarify the relations among them. | |
| dc.description | 36 pages. Following the referee's comments, we have clarified the exposition of some proofs and corrected some misprints | |
| dc.identifier | https://arxiv.org/abs/0709.1610 | |
| dc.identifier | http://arxiv.org/abs/0709.1610 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155738 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Quantum Algebra | |
| dc.subject | 34M30, 39A13, 33D05 | |
| dc.title | On q-summation and confluence | |
| dc.type | text |