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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 | Medium | ||
| Area | Expedition | Conference | |||
| Notes | WOS:000750771000001 | Approved | |||
| Call Number | UAI @ alexi.delcanto @ | Serial | 1531 | ||
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