4 papers
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…
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…
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…
Harmonic Univalent Mappings and Linearly Connected Domains
M. Chuaqui, R. Hernandez
We investigate the relationship between the univalence of and of in the decomposition of a sense-preserving harmonic mapping defined in the unit disk $\mathbb…