[en] 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. [fr] 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.
Disciplines :
Mathematics
Author, co-author :
Tomaschek, Jörg ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Reich, Ludwig
External co-authors :
yes
Language :
English
Title :
Generalized Dhombres equations in the complex domain a survey
Publication date :
November 2014
Event name :
ECIT 2012, 19th European Conference on Iteration Theory
Event date :
2012
Main work title :
ESAIM:Proceedings and Surveys
Pages :
63-82
FnR Project :
FNR3979497 - Associativity, Bisymmetry, Commutativity And Functional Equations In Rings Of Formal Power Series, 2012 (01/10/2012-30/09/2014) - Jörg Tomaschek
