Result: Universality properties of Taylor series inside the domain of holomorphy
Title:
Universality properties of Taylor series inside the domain of holomorphy
Authors:
Source:
Journal of mathematical analysis and applications. 383(1):234-238
Publisher Information:
Amsterdam: Elsevier, 2011.
Publication Year:
2011
Physical Description:
print, 13 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Fonctions de plusieurs variables complexes et espaces analytiques, Several complex variables and analytic spaces, Analyse mathématique, Mathematical analysis, Análisis matemático, Fonction holomorphe, Holomorphic function, Función holomorfa, Série Taylor, Taylor series, Serie Taylor, 32Axx, Overconvergence, Polar sets, Universal series
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
University of Trier, FB IV, Mathematics, 54286 Trier, Germany
ISSN:
0022-247X
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.24403347
Database:
PASCAL Archive
Further Information
It is proven that the Taylor series of functions holomorphic in C∞ \ {1} generically have certain universality properties on small sets outside the unit disk. Moreover, it is shown that such sets necessarily are polar sets. .