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Universality properties of Taylor series inside the domain of holomorphy
Authors:Peter Beise  Jürgen Müller
Institution:University of Trier, FB IV, Mathematics, D-54286 Trier, Germany
Abstract:It is proven that the Taylor series of functions holomorphic in C?{1} generically have certain universality properties on small sets outside the unit disk. Moreover, it is shown that such sets necessarily are polar sets.
Keywords:Universal series  Polar sets  Overconvergence
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