Rational Decompositions of p-adic meromorphic functions
| 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 K be a non archimedean algebraically closed field of characteristic pi complete for its ultrametric absolute value. In a recent paper by Escassut and Yang, polynomial decompositions P(f)=Q(g) for meromorphic functions f, g on K (resp. in a disk) have been considered, and for a class of polynomials P, Q, estimates for the Nevanlinna function T(r,f) have been derived. In the present paper we consider as a generalization rational decompositions of meromorphic functions. In the case, where f, g are analytic functions, the Second Nevanlinna Theorem yields an analogue result as in the mentioned paper. However, if they are meromorphic, non trivial estimates for T(r,f) are more sophisticated. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0508031 | |
| dc.identifier | http://arxiv.org/abs/math/0508031 | |
| dc.identifier | Sci. Math. Jpn. 61 (2005), no. 1, 1--13 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75948 | |
| dc.subject | Complex Variables | |
| dc.subject | 30D05; 30D35; 11D88;11E95 | |
| dc.title | Rational Decompositions of p-adic meromorphic functions | |
| dc.type | text |