4 papers
Omitted values for some subclasses of univalent mappings
Hugo Arbeláez, Rodrigo Hernández, Willy Sierra
We study the range of for normalized analytic functions in the unit disk belonging to several classes of conformal mappings. As our main contrib…
On the localization of the poles of the best Mobius approximations of f
Hugo Arbelaez, Martin Chuaqui, Rodrigo Hernandez +1
We study the localization of the poles of the best Mobius approximations for locally univalent functions in the unit disk. Sharp geometric bounds for the pole function are establis…
Properties of Besov and spaces in terms of the Schwarzian derivative of harmonic mappings
Hugo Arbeláez, Rodrigo Hernández, Willy Sierra
In this paper we give a characterization of belongs to or spaces for any locally univalent sense-preserving harmo…
On an Internal Characterization of Horocyclically Convex Domains in the Unit Disk
Juan Arango, Hugo Arbeláez, Diego MejÃa
A proper subdomain of the unit disk is horocyclically convex (horo-convex) if, for every , there exists a horodisk such that $…