Ostrowski-type theorems for harmonic functions |
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Authors: | Myrto Manolaki |
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Affiliation: | School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland |
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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. |
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