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Author
Bravo, V.
;
Hernandez, R.
;
Ponnusamy, S.
;
Venegas, O.
Title
Pre-Schwarzian and Schwarzian derivatives of logharmonic mappings
Type
Year
2022
Publication
Monatshefte Fur Mathematik
Abbreviated Journal
Monatsh. fur Math.
Volume
199
Issue
4
Pages
733-754
Keywords
Pre-Schwarzian and Schwarzian derivatives
;
Harmonic and logharmonic mappings
;
Univalence criterion
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.
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ISSN
0026-9255
ISBN
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Notes
WOS:000750771000001
Approved
Call Number
UAI @ alexi.delcanto @
Serial
1531
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