Reference : On the behaviour of the successive derivatives of meromorphic functions on the final set
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/28056
On the behaviour of the successive derivatives of meromorphic functions on the final set
English
Meyrath, Thierry mailto [University of Trier > Fachbereich IV / Mathematik]
Müller, Jürgen [University of Trier > Fachbereich IV / Mathematik]
2013
Journal d'analyse mathématique
Hebrew University Magnes Press
120
1
131 - 149
Yes
International
0021-7670
1565-8538
Jerusalem
Israel
[en] Final set ; Successive derivatives ; Universality
[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.
Researchers
http://hdl.handle.net/10993/28056
10.1007/s11854-013-0017-y
http://link.springer.com/article/10.1007/s11854-013-0017-y

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