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Authors: RODRIGO HERNÁNDEZ.
DOI: 10.24193/subbmath. 2022.2.16
Published Online: 2022-06-10
Published Print: 2022-06-30
pp. 421-430
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Abstract: By using the using the Loewner Chain Theory, we obtain a new criterion of univalence in $C^n$ in terms of the Schwarzian derivative introduced in [3] by using the arguments in [8]. We as well derive explicitly the formula given in [3] by relating the Schwarzian derivative with the numerical method of approximation of zeros due to Halley.
Key words: Univalence criterion, Schwarzian derivative, Loewner chain, Halley method.
Mathematics Subject Classification (2010): 32A10, 32W50, 32H02
