Pre-Schwarzian and Schwarzian derivatives of logharmonic mappings
Date
Authors
VENEGAS TORRES, OSVALDO
Bravo, Victor
Hernández, Rodrigo
Ponnusamy, Saminathan
Venegas, Osvaldo
Bravo, Victor
Hernández, Rodrigo
Ponnusamy, Saminathan
Venegas, Osvaldo
Authors
Date
Datos de publicación:
10.1007/s00605-021-01659-w
Keywords
Harmonic And Logharmonic Mappings - Pre-schwarzian And Schwarzian Derivatives - Univalence Criterion
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Abstract
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. © 2022 Elsevier B.V., All rights reserved.
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Keywords
Harmonic And Logharmonic Mappings , Pre-schwarzian And Schwarzian Derivatives , Univalence Criterion
Citation
10.1007/s00605-021-01659-w