5 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 Hardy spaces, univalent functions and the second coefficient
Martin Chuaqui, Iason Efraimidis, Rodrigo Hernández
We consider normalized univalent functions with prescribed second Taylor coefficient . For convex functions we study the Hardy spaces to which and belong, refinin…
Always-convex harmonic shears
Rodrigo Hernández, María J. Martín, Fernando Pérez-González +1
We determine completely the analytic functions in the unit disk such that for all (normalized) orientation-preserving harmonic mappings produced b…
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 the convolution of convex 2-gons
Martin Chuaqui, Rodrigo Hernández, Adrián Llinares +1
We study the convolution of functions of the form \[ f_α(z) := \dfrac{\left( \frac{1 + z}{1 - z} \right)^α- 1}{2 α}, \] which map the open unit disk of the complex plane onto polyg…