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Multiply Universal Holomorphic Functions

✍ Scribed by Wolfgang Luh


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
406 KB
Volume
89
Category
Article
ISSN
0021-9045

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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 Γ„ C holomorphic in G ( f # H(G )), there exists a strictly increasing sequence n k # [0, 1, 2, ...] such that \_ n