4 papers · 1 filter
Ahlfors-Weill extensions for harmonic mappings
Iason Efraimidis, Rodrigo Hernández, María J. Martín
We provide two new formulas for quasiconformal extension to for harmonic mappings defined in the unit disk and having sufficiently small Schwarzian derivati…
Schwarzian derivatives for pluriharmonic mappings
Iason Efraimidis, Álvaro Ferrada-Salas, Rodrigo Hernández +1
A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in are introduced. Basic properties such as the chain rule, multiplicative…
A new approach for the univalence of certain integral of harmonic mappings
Hugo Arbeláez, Víctor Bravo, Rodrigo Hernández +2
The principal goal of this paper is to extend the classical problem of find the values of $α\in \C$ for which the mappings, either or $f_α(z)=\int_0^z…
On the harmonic Möbius transformations
Rodrigo Hernández, María J. Martín
It is well-known that two locally univalent analytic functions and have equal Schwarzian derivative if and only if there exists a non-constant Möbius transformation suc…