[en] We study the behaviour of the sequence of successive derivatives of
meromorphic functions at points of the so-called final set. We prove that, whereas
in many cases this sequence tends to ∞, for a special class of meromorphic functions,
it may have extremely wild behaviour. We also prove a connection between
the derivatives of meromorphic functions from this class and so-called Dirichlet
sets.
Disciplines :
Mathématiques
Auteur, co-auteur :
MEYRATH, Thierry ; University of Trier > Fachbereich IV / Mathematik
Müller, Jürgen; University of Trier > Fachbereich IV / Mathematik
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
On the behaviour of the successive derivatives of meromorphic functions on the final set
