| Issue |
ESAIM: Proc.
Volume 46, November 2014
ECIT 2012, 19th European Conference on Iteration Theory
|
|
|---|---|---|
| Page(s) | 63 - 82 | |
| DOI | https://doi.org/10.1051/proc/201446006 | |
| Published online | 05 December 2014 | |
Generalized dhombres equations in the complex domain a survey*
1 Institute for Mathematics and
Scientific Computing, Karl-Franzens-University Graz, Heinrichstraße 36, 8010
Graz,
Austria,
email: ludwig.reich@uni-graz.at
2 Mathematics Research Unit, University
of Luxembourg, 6, rue Richard
Coudenhove-Kalergi, L-1359
Luxembourg, Grand Duchy of
Luxembourg,
email: research@jtomaschek.eu
In this survey paper we present the Main Theorems related to the generalized Dhombres equation in the complex domain. We discuss the local as well as the global theory. This includes formal, local analytic, entire and meromorphic solutions.
Résumé
Dans cet article, nous synthétisons les principaux résultats concernant les équations de Dhombres généralisées dans le plan complexe. Nous étudions la théorie locale et globale. Nous considérons donc, entre autres, les solutions formelles, localement analytiques, entières et méromorphes.
Mathematics Subject Classification: 30D05 / 39B12 / 39B32
Key words: Generalized Dhombres equation / Iterative equation
Mots clés : Equation de Dhombres généralisée / Équation itérative
© EDP Sciences, SMAI 2014
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