Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617502 | Journal of Mathematical Analysis and Applications | 2012 | 9 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis