Article ID Journal Published Year Pages File Type
4617502 Journal of Mathematical Analysis and Applications 2012 9 Pages PDF
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