1 citations · 1 across the 2 of their papers we have counts for
4 papers
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…
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…
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…
Secant Method on Riemannian Manifolds
Rodrigo Castro, Gustavo Di Giorgi, Willy Sierra
In this work, by using techniques and results of differential geometry, we propose a new numerical method on complete Riemannian manifolds to find zeros of vector fields. Our algor…