Reference : Universal rational expansions of meromorphic functions
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/1803
Universal rational expansions of meromorphic functions
English
Meyrath, Thierry mailto [Universit├Ąt Trier > Fachbereich IV - Mathematik]
2011
Computational Methods and Function Theory
11
1
317-324
Yes (verified by ORBilu)
International
1617-9447
[en] Universal series ; Complex approximation ; Runge's theorem
[en] Motivated by known results about universal Taylor series, we show that every function meromorphic on a domain $G$ can be expanded into a series of rational functions, whose partial sums have universal approximation properties on arbitrary compact sets $K \subset G^c$.
http://hdl.handle.net/10993/1803

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