Abstract
Using the Loewner Chain Theory, we obtain a new criterion of univalence in Cn in terms of the Schwarzian derivative for locally biholomorphic mappings. We as well derive explicitly the formula of this Schwarzian derivative using the numerical method of approximation of zeros due by Halley.
| Original language | English |
|---|---|
| Pages (from-to) | 421-430 |
| Number of pages | 10 |
| Journal | Studia Universitatis Babes-Bolyai Mathematica |
| Volume | 67 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2022 |
| Externally published | Yes |
Keywords
- Halley method.
- Loewner chain
- Schwarzian derivative
- Univalence criterion