Meromorphic Extendibility and the Argument Principle
| dc.creator | Globevnik, Josip | |
| dc.date | 2006-12-01 | |
| dc.date.accessioned | 2026-07-07T07:34:34Z | |
| dc.date.available | 2026-07-07T07:34:34Z | |
| dc.description | Let U be the open unit disc in C. Given a continuous function g: bU --> C-{0} denote by W(g) the winding number of g around the origin. We prove that a continuous function f: bU --> C extends meromorphically through U if and only if there is a nonnegative integer N such that W(Pf+Q) is greater than or equal to -N for every pair P,Q of polynomials such that Pf+Q has no zero on bU. If this is the case then the meromorphic extension of f has at most N poles in U, counting multiplicity. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612031 | |
| dc.identifier | http://arxiv.org/abs/math/0612031 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119808 | |
| dc.subject | Complex Variables | |
| dc.title | Meromorphic Extendibility and the Argument Principle | |
| dc.type | text |