Rational decompositions of complex meromorphic functions
| dc.creator | Escassut, Alain | |
| dc.creator | Mayerhofer, Eberhard | |
| dc.date | 2005-08-01 | |
| dc.date.accessioned | 2026-07-07T05:22:08Z | |
| dc.date.available | 2026-07-07T05:22:08Z | |
| dc.description | Let h be a complex meromorphic function decomposed in two different ways P(f) and Q(g), where f, g are meromorphic functions and P, Q are rational functions. We follow an approach due to C.-C. Yang, P. Li and K. H. Ha who handle similar decompositions, however, with P, Q polynomials, by applying the Second Nevanlinna Theorem. We establish relations between the number k of distinct zeros of P', the degrees of P and Q, and (unless f, g are analytic functions) the number of distinct zeros of the denominators of P and Q. | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/math/0508029 | |
| dc.identifier | http://arxiv.org/abs/math/0508029 | |
| dc.identifier | Complex Var. Theory Appl. 49 (2004), no. 14, 991--996 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75946 | |
| dc.subject | Complex Variables | |
| dc.subject | 30D35;30D30;39B32 | |
| dc.title | Rational decompositions of complex meromorphic functions | |
| dc.type | text |