4 papers · 1 filter
A Characterization of -Convex Functions with Sharp Coefficient and Schwarzian Estimates
Víctor Bravo, Pablo Carrasco, Rodrigo Hernández +1
The class of -convex functions, introduced by Mocanu in 1969, interpolates between starlike and convex functions. We prove a characterization of that extends a theor…
Pre-Schwarzian derivative for Logharmonic mapppings
V. Bravo, R. Hernandez, O. Venegas
We introduce a new definition of pre-Schwarzian derivative for logharmonic mappings and basic properties such as the chain rule, multiplicative invariance and affine invariance are…
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…
Pre-Schwarzian and Schwarzian derivatives of harmonic mappings
Rodrigo Hernández, María J. Martín
In this paper we introduce a definition of the pre-Schwarzian and the Schwarzian derivatives of any locally univalent harmonic mapping in the complex plane without assuming any…