Geodesic
Local solutions of the generalized Dhombres functional equation in a neighbourhood of infinity
Jörg Tomaschek1 ; Ludwig Reich2
1 Mathematics Research Unit, University of Luxembourg, 6, rue Richard Coudenhove-Kalergi, L-1359 Luxembourg, Grand Duchy of Luxembourg,
2 Institute for Mathematics and Scientific Computing, Karl-Franzens-University Graz, Heinrichstraße 36, 8010 Graz, Austria,
ESAIM. Proceedings, Tome 46 (2014), pp. 233-246.

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We study the generalized Dhombres functional equation in the complex domain, we investigate solutions in a neighbourhood of infinity. After some transformations a characterization of those solutions which have a complex number different from zero or infinity as value is given. Moreover the convergence of the solutions and solutions represented as infinite product are figured out.
DOI : 10.1051/proc/201446019

Jörg Tomaschek 1 ; Ludwig Reich 2

1 Mathematics Research Unit, University of Luxembourg, 6, rue Richard Coudenhove-Kalergi, L-1359 Luxembourg, Grand Duchy of Luxembourg,
2 Institute for Mathematics and Scientific Computing, Karl-Franzens-University Graz, Heinrichstraße 36, 8010 Graz, Austria, 
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     title = {Local solutions of the generalized {Dhombres} functional equation in a neighbourhood of infinity},
     journal = {ESAIM. Proceedings},
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     doi = {10.1051/proc/201446019},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201446019/}
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Jörg Tomaschek; Ludwig Reich. Local solutions of the generalized Dhombres functional equation in a neighbourhood of infinity. ESAIM. Proceedings, Tome 46 (2014), pp. 233-246. doi : 10.1051/proc/201446019. http://geodesic.mathdoc.fr/articles/10.1051/proc/201446019/

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