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math.CV2020
A strong form of Plessner's theorem
Stephen J. Gardiner, Myrto Manolaki
Let be a holomorphic, or even meromorphic, function on the unit disc. Plessner's theorem then says that, for almost every boundary point , either (i) has a finite nontan…
math.CV2013
Universal Taylor series, conformal mappings and boundary behaviour
Stephen J. Gardiner
A holomorphic function f on a simply connected domain Ω is said to possess a universal Taylor series about a point in Ω if the partial sums of that series approximate arbitrary pol…