T-universal Functions With Prescribed Approximation Curves
| dc.creator | Mayenberger, Daniel | |
| dc.date | 2003-11-13 | |
| dc.date.accessioned | 2026-07-07T05:02:53Z | |
| dc.date.available | 2026-07-07T05:02:53Z | |
| dc.description | Let be F a family of curves in the unit disc. We show that the set of all functions f holomorphic on the unit disc, which satisfy the following condition, is G-delta and dense in the space of all functions holomorphic on the unit disc: For each compact set K with connected complement, each function g continuous on K and holomorphic on its interior, every point t on the unit circle, every curve C in F (ending in t) and any e>0 there exist numbers 0<a<1 and b in C such that |f(az+b)-g(z)|<e for all z in K and |b-t|<e. The set of these functions is called the class of T-universal functions with prescribed approximation curves. | |
| dc.description | References corrected | |
| dc.identifier | https://arxiv.org/abs/math/0311229 | |
| dc.identifier | http://arxiv.org/abs/math/0311229 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69186 | |
| dc.subject | Complex Variables | |
| dc.subject | 32E30 | |
| dc.title | T-universal Functions With Prescribed Approximation Curves | |
| dc.type | text |