On the overconvergence of certain series

M. Blambert and R. Parvatham

International Journal of Mathematics and Mathematical Sciences, 1979, vol. 2, 1-16

Abstract:

In this work, we consider certain class of exponential series with polynomial coefficients and study the properties of convergence of such series. Then we consider a subclass of this class and prove certain theorems on the overconvergence of such a series, which allow us to determine the conditions under which the boundary of the region of convergence of this series is a natural boundary for the function f defined by this series.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:582523

DOI: 10.1155/S0161171279000053

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