Computational Methods and Function Theory 10 (2010), No. 1, 155--165
Copyright Heldermann Verlag 2010
Nikolaos Tsirivas
University of Athens, Department of Mathematics, 15784 Athens, Greece.
Vagia Vlachou
vvlachou@math.upatras.gr , University of Patras, Department of Mathematics, 26500 Patras, Greece.
For certain non-simply connected domains of even infinite connectivity, we prove that there exist holomorphic functions such that a) their Faber expansions with respect to suitable compact sets Γ have approximating properties outside their domain of holomorphy, and b) the coefficients of the Faber expansions have the property of Hadamard-Ostrowski gaps.
Keywords: Universal functions, universal Faber series, Faber polynomials, power series, Hadamard-Ostrowski gaps.
MSC 2000: 30B10.
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