Power series with radius of convergence zero — Overconvergence,elongations, summability |
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| Authors: | W Luh A Stepanyan |
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| Institution: | 1.Universit?t Trier,Trier,Germany;2.Armenian National Academy of Sciences,Yerevan,Armenia |
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| Abstract: | We deal with overconvergence phenomena of power series with radius of convergence zero. Among others it is shown that the
partial sums of such a series can be elongated to become Cesàro summable on a set S ⊂ {z: |z| > 0} if and only if the considered power series is overconvergent. |
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