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Non-Normal Sequences of Holomorphic Functions and Universality

✍ Scribed by Richard Fournier, Vassili Nestoridis

Book ID
120888204
Publisher
Springer-Verlag
Year
2011
Tongue
English
Weight
150 KB
Volume
11
Category
Article
ISSN
1617-9447

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πŸ“œ SIMILAR VOLUMES

Universality of Taylor Series as a Gener
Universality of Taylor Series as a Generic Property of Holomorphic Functions
✍ A. Melas; V. Nestoridis πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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 Γ„ C holomorphic in G ( f # H(G )), there exists a strictly increasing sequence n k # [0, 1, 2, ...] such that \_ n