Sharp forms of Nevanlinna error terms in differential equations
| dc.creator | Korhonen, Risto | |
| dc.date | 2006-08-21 | |
| dc.date.accessioned | 2026-07-07T07:21:59Z | |
| dc.date.available | 2026-07-07T07:21:59Z | |
| dc.description | Sharp versions of some classical results in differential equations are given. Main results consists of a Clunie and a Mohon'ko type theorems, both with sharp forms of error terms. The sharpness of these results is discussed and some applications to nonlinear differential equations are given in the conluding remarks. Moreover, a short introduction on the connection between Nevanlinna theory and number theory, as well as on their relation to differential equations, is given. In addition, a brief review on the recent developments in the field of sharp error term analysis is presented. | |
| dc.description | 16 pages, contains an erratum at the end of the paper | |
| dc.identifier | https://arxiv.org/abs/math/0608514 | |
| dc.identifier | http://arxiv.org/abs/math/0608514 | |
| dc.identifier | Symposium on Complex Differential and Functional Equations, 117 - 133, Univ. Joensuu Dept. Math. Rep. Ser., 6, Univ. Joensuu, Joensuu, 2004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115498 | |
| dc.subject | Complex Variables | |
| dc.subject | 30D35 (Primary) 34M05, 11J97 (Secondary) | |
| dc.title | Sharp forms of Nevanlinna error terms in differential equations | |
| dc.type | text |