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.
Idioma original | Inglés |
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Páginas (desde-hasta) | 733-754 |
Número de páginas | 22 |
Publicación | Monatshefte fur Mathematik |
Volumen | 199 |
N.º | 4 |
DOI | |
Estado | Publicada - dic. 2022 |
Publicado de forma externa | Sí |