Universal Taylor series, conformal mappings and boundary behaviour

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 polynomials on arbitrary compacta K outside Ω (provided only that K has connected complement). This paper shows that this property is not conformally invariant, and, in the case where Ω is the unit disc, that such functions have extreme angular boundary behaviour.Science Foundation IrelandAuthor has checked copyrightNot sure if this article will be published in print, but check on Journal website for an online version. URL for Journal: http://aif.cedram.org/spip.php?rubrique26&lang=e