2 citations · 2 across the 5 of their papers we have counts for
5 papers
Schwarzian derivative for convex mappings of order alpha
Pablo Carrasco, Rodrigo Hernández
The main purpose of this paper is to obtain sharp bounds of the norm of Schwarzian derivative for convex mappings of order in terms of the value of , in particular,…
On harmonic Bloch-type mappings
I. Efraimidis, J. Gaona, R. Hernández +1
Let be a complex-valued harmonic mapping defined in the unit disk . We introduce the following notion: we say that is a Bloch-type function if its Jacobian satis…
Criteria for univalence and quasiconformal extension of harmonic mappings in terms of the Schwarzian DERIVATIVE
Rodrigo Hernández, María J. Martín
We prove that if the Schwarzian norm of a given complex-valued locally univalent harmonic mapping in the unit disk is small enough, then is, indeed, globally univalent and…
Affine and linear invariant families of harmonic mappings
Martin Chuaqui, Rodrigo Hernández, María José Martín
We study the order of affine and linear invariant families of planar harmonic mappings in the unit disk and determine the order of the family of mappings with bounded Schwarzian no…
The order of a linearly invariant familiy in C^n
Martin Chuaqui, Rodrigo Hernandez
We study the (trace) norm of a linearly invariant family in the ball in $\C$. By adapting an approach that in one variable yields optimal results, we are able to derive an upper bo…