Reference : Common Universal Meromorphic Functions for Translation and Dilation Mappings
 Document type : Scientific journals : Article Discipline(s) : Physical, chemical, mathematical & earth Sciences : Mathematics To cite this reference: http://hdl.handle.net/10993/49684
 Title : Common Universal Meromorphic Functions for Translation and Dilation Mappings Language : English Author, co-author : Meyrath, Thierry [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit] Publication date : 2022 Journal title : Computational Methods and Function Theory Publisher : Springer Volume : 22 Issue/season : 4 Pages : 781 - 798 Peer reviewed : Yes Audience : International ISSN : 1617-9447 e-ISSN : 2195-3724 Country : Germany Keywords : [en] Universality ; Hypercyclicity ; Meromorphic functions ; Runge's Theorem ; Ansari's Theorem Abstract : [en] We consider translation and dilation mappings acting on the spaces of meromorphic functions on the complex plane and the punctured complex plane, respectively. In both cases, we show that there is a dense $G_{\delta}$-subset of meromorphic functions that are common universal for certain uncountable families of these mappings. While a corresponding result for translations exists for entire functions, our result for dilations has no holomorphic counterpart. We further obtain an analogue of Ansari’s Theorem for the mappings we consider, which is used as a key tool in the proofs of our main results. Permalink : http://hdl.handle.net/10993/49684 DOI : 10.1007/s40315-021-00429-x Other URL : https://link.springer.com/article/10.1007/s40315-021-00429-x

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Limited access
Meyrath_2022_CMFT.pdfPublisher postprint306.17 kBRequest a copy

All documents in ORBilu are protected by a user license.