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Generalized Dhombres equations in the complex domain a survey
Tomaschek, Jörg; Reich, Ludwig
2014In ESAIM:Proceedings and Surveys


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Keywords :
Generalized Dhombres equation; Iterative equation; Equation de Dhombres généralisée; Équation itérative
Abstract :
[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 :
Author, co-author :
Tomaschek, Jörg ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Reich, Ludwig
External co-authors :
Language :
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 :
Main work title :
ESAIM:Proceedings and Surveys
Pages :
FnR Project :
FNR3979497 - Associativity, Bisymmetry, Commutativity And Functional Equations In Rings Of Formal Power Series, 2012 (01/10/2012-30/09/2014) - Jörg Tomaschek
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