5 papers
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…
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,…
Two-point distortion theorems for harmonic mappings
Víctor Bravo, Rodrigo Hernández, Osvaldo Venegas
We establish two-point distortion theorems for sense-preserving planar harmonic mappings which satisfies the univalence criteria in the unit disc such that, Beck…
Families of Homomorphic Mappings in the Polydisk
Martin Chuaqui, Rodrigo Hernández
We study classes of locally biholomorphic mappings defined in the that have bounded Schwarzian operator in the Bergman metric. We establish important properties of specific sol…
Integral transform for Logharmonic mappings
H. Arbeláez, V. Bravo, R. Hernández +2
Bieberbach's conjecture was very important in the development of Geometric Function Theory, not only because of the result itself, but also due to the large amount of methods that…