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On the Radial Behavior of Universal Taylor Series

✍ Scribed by George Costakis

Publisher: Springer Vienna
Year: 2004
Tongue: English
Weight: 79 KB
Volume: 145
Category: Article
ISSN: 0026-9255
DOI: 10.1007/s00605-004-0276-x

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There exists a power series f 0 (z)= &=0 a & z & with radius of convergence 1, such that, for every bounded simply connected domain G, G & [z # C : |z| 1]=< and for every function f : G Ä C holomorphic in G ( f # H(G )), there exists a strictly increasing sequence n k # [0, 1, 2, ...] such that \_ n