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Author (down) 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 Medium
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Notes WOS:000750771000001 Approved
Call Number UAI @ alexi.delcanto @ Serial 1531
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