Pre-Schwarzian and Schwarzian derivatives of logharmonic mappings
Registro en:
MONATSHEFTE FUR MATHEMATIK,Vol.,,2022
10.1007/s00605-021-01659-w
Autor
Bravo
V. Hernandez
R. Ponnusamy
S. Venegas
O.
Institución
Resumen
We introduce definitions of pre-Schwarzian and Schwarzian derivatives for logharmonic mappings, and basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic.