On The Chaotic Asymptotics of Ramanujan's Entire Function $A_q(z)$
| dc.creator | Zhang, Ruiming | |
| dc.date | 2006-11-08 | |
| dc.date.accessioned | 2026-07-07T07:32:38Z | |
| dc.date.available | 2026-07-07T07:32:38Z | |
| dc.description | We will use a discrete analogue of the classical \emph{Laplace} method to show that for infinitely many positive integers $n$, the main term of the asymptotic expansions of scaled confluent basic hypergeometric functions, including the Ramanujan's entire function $A_{q}(z)$, could be expressed in $θ$-functions, and the error term depends on the ergodic property of certain real scaling parameter. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0611211 | |
| dc.identifier | http://arxiv.org/abs/math/0611211 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119178 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Complex Variables | |
| dc.subject | 33D45; 33E05 | |
| dc.title | On The Chaotic Asymptotics of Ramanujan's Entire Function $A_q(z)$ | |
| dc.type | text |