3 papers
math.CV2021
Lower and upper order of harmonic mappings
Arbeláez, H., Hernández +2
In this paper, we define both the upper and lower order of a sense-preserving harmonic mapping in . We generalize to the harmonic case some known results about holomorp…
math.CV2019
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…
math.CV2018
Normal harmonic mappings
Hugo Arbeláez, Rodrigo Hernández, Willy Sierra
The main purpose of this paper is to study the concept of normal function in the context of harmonic mappings from the unit disk to the complex plane. In particular, w…