Abstract
We show that universal Taylor series in unbounded non-simply connected domains can be represented as series of rational functions with a double simultaneous approximation property. The use of Baire’s category theorem allows us to obtain strong results. Moreover, we extend our results from the holomorphic case to the meromorphic one, where we use the chordal metric.
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Lamprecht, M., Nestoridis, V. Universal functions as series of rational functions. Rev Mat Complut 27, 225–239 (2014). https://doi.org/10.1007/s13163-013-0116-4
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DOI: https://doi.org/10.1007/s13163-013-0116-4