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Extensions of a theorem of Marcinkiewicz-Zygmund and of Rogosinski's formula and an application to Universal Taylor series |
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| Authors: | E. S. Katsoprinakis M. Papadimitrakis |
| Affiliation: | Department of Mathematics, University of Crete, 714 09 Heraklion - Crete, Greece ; Department of Mathematics, University of Crete, 714 09 Heraklion - Crete, Greece |
| Abstract: | This paper extends Rogosinski's formula and the Marcinkiewicz-Zygmund Theorem about circular structure of the limit points of the partial sums of (C,1) summable Taylor series. Also a result about summability of  Taylor series is proved and an application on Universal Taylor series is given. |
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