Abstract.
We strengthen a result of Melas concerning universal Taylor series on an unbounded doubly connected domain in \({\mathbb{C}}\) which is the complement of a compact connected set. The universal approximation is also valid on the boundary, it holds for the derivatives of every order and the universal function vanishes at ∞. In our result we obtain topological and algebraic genericity.
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Received: April 4, 2007; Revised: April 30, 2008.
This work was funded by the State Scholarships Foundation of Greece (I K Y).
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Bacharoglou, A.G. Universal Taylor Series on Doubly Connected Domains. Result. Math. 53, 9–18 (2009). https://doi.org/10.1007/s00025-008-0325-1
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DOI: https://doi.org/10.1007/s00025-008-0325-1