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 |
本文献已被 ScienceDirect 等数据库收录! |