Ostrowski-type theorems for harmonic functions
|Title:||Ostrowski-type theorems for harmonic functions||Authors:||Manolaki, Myrto||Permanent link:||http://hdl.handle.net/10197/4034||Date:||15-Jul-2012||Abstract:||Ostrowski showed that there are intimate connections between the gap structure of a Taylor series and the behaviour of its partial sums outside the disk of convergence. This paper investigates the corresponding problem for the homogeneous polynomial expansion of a harmonic function. The results for harmonic functions display new features in the case of higher dimensions.||Funding Details:||Science Foundation Ireland||Type of material:||Journal Article||Publisher:||Elsevier||Copyright (published version):||2012 Elsevier Inc||Keywords:||Harmonic functions;Homogeneous polynomial expansion;Ostrowski gaps||DOI:||10.1016/j.jmaa.2012.02.047||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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