On the behaviour of the successive derivatives of meromorphic functions on the final set

Reference : On the behaviour of the successive derivatives of meromorphic functions on the final set


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/28056

Title :	On the behaviour of the successive derivatives of meromorphic functions on the final set
Language :	English
Author, co-author :	Meyrath, Thierry [University of Trier > Fachbereich IV / Mathematik]
	Müller, Jürgen [University of Trier > Fachbereich IV / Mathematik]
Publication date :	2013
Journal title :	Journal d'analyse mathématique
Publisher :	Hebrew University Magnes Press
Volume :	120
Issue/season :	1
Pages :	131 - 149
Peer reviewed :	Yes
Audience :	International
ISSN :	0021-7670
e-ISSN :	1565-8538
City :	Jerusalem
Country :	Israel
Keywords :	[en] Final set ; Successive derivatives ; Universality
Abstract :	[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.
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/28056
DOI :	10.1007/s11854-013-0017-y
Other URL :	http://link.springer.com/article/10.1007/s11854-013-0017-y

File(s) associated to this reference

Fulltext file(s):

	File	Commentary	Version	Size	Access
Limited access	Meyrath_Müller_2013_JdA.pdf		Publisher postprint	315.66 kB	Request a copy

All documents in ORBi^lu are protected by a user license.