On the overconvergence of certain series
M. Blambert, R. Parvatham
International Journal of Mathematics and Mathematical Sciences · 1979
doi:10.1155/s0161171279000053 (opens in a new tab)
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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.
Abstract licence: CC BY
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