Abel universal functions: boundary behaviour and Taylor polynomials

Stéphane Charpentier, Myrto Manolaki, Konstantinos Maronikolakis

A holomorphic function $f$ on the unit disc $\mathbb{D}$ belongs to the class ${\mathcal{U}}_A(\mathbb{D})$ of Abel universal functions if the family $\{f_r:0\le r<1\}$ of its dila…