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Issue Quadrature
Number 74, Octobre-Décembre 2009
Page(s) 27 - 34
Section Analyse
DOI http://dx.doi.org/10.1051/quadrature/2009019
Published online 04 September 2009

Quadrature n° 74 (2009) 27-34
DOI: 10.1051/quadrature/2009019

Équation fonctionnelle de la tangente hyperbolique et parties de $\Bbb{R}$ additivement stables

Roger Cuculière


Published online: 4 September 2009

Abstract
Quelles sont les fonctions qui vérifient la formule d'addition pour la fonction tangente hyperbolique? Cette question anodine est l'objet de nombreux exercices "faciles" d'équations fonctionnelles et pourtant un traitement rigoureux de cette équation et de sa résolution nous amène à étudier les sous-groupes et les parties additivement stables de $\mathbb{R} $ pour décrire quelques solutions monstrueuses.



© EDP Sciences 2009


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