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Universal Taylor series have a strong form of universality

✍ Scribed by Frédéric Bayart; Vassili Nestoridis


Publisher
Springer-Verlag
Year
2008
Tongue
English
Weight
143 KB
Volume
104
Category
Article
ISSN
0021-7670

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📜 SIMILAR VOLUMES


Universality of Taylor Series as a Gener
✍ A. Melas; V. Nestoridis 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 362 KB

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