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• W2094558611 abstract "The known proofs for universal Taylor series do not determine a specific universal Taylor series. In the present paper, we isolate a specific universal Taylor series by modifying the proof in [30]. Thus we determine all Taylor coefficients of a specific universal Taylor series on the disc or on a polygonal domain. Furthermore in non simply connected domains, when universal Taylor series exist, we can construct a sequence of specific rational functions converging to a universal function, provided the boundary is good enough. The solution uses an infinite denumerable procedure and a finite number of steps is not sufficient. However we solve a Runge’s type problem in a finite number of steps." @default.
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• W2094558611 date "2012-01-21" @default.
• W2094558611 modified "2023-09-26" @default.
• W2094558611 title "Determination of a Universal Series" @default.
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• W2094558611 doi "https://doi.org/10.1007/bf03321821" @default.
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