Boundary behaviour of universal Taylor series
|Title:||Boundary behaviour of universal Taylor series||Authors:||Gardiner, Stephen J.
|Permanent link:||http://hdl.handle.net/10197/5312||Date:||Feb-2014||Abstract:||A power series that converges on the unit disc D is called universal if its partial sums approx- imate arbitrary polynomials on arbitrary compacta in CnD that have connected complement. This paper shows that such series grow strongly and possess a Picard-type property near each boundary point.||Type of material:||Journal Article||Publisher:||Elsevier Masson||Copyright (published version):||2014 Académie des sciences||Keywords:||Boundry behaviour;Taylor series||DOI:||10.1016/j.crma.2013.12.008||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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