A criterion of univalence in Cn in terms of the Schwarzian derivative

Rodrigo Hernandez

doi:10.24193/subbmath.2022.2.16

A criterion of univalence in Cn in terms of the Schwarzian derivative

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Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	421-430
Número de páginas	10
Publicación	Studia Universitatis Babes-Bolyai Mathematica
Volumen	67
N.º	2
DOI	https://doi.org/10.24193/subbmath.2022.2.16
Estado	Publicada - 2022
Publicado de forma externa	Sí

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10.24193/subbmath.2022.2.16

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@article{7344926b0be945ee89c45ba625bfc26b,

title = "A criterion of univalence in Cn in terms of the Schwarzian derivative",

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.",

keywords = "Halley method., Loewner chain, Schwarzian derivative, Univalence criterion",

author = "Rodrigo Hernandez",

year = "2022",

doi = "10.24193/subbmath.2022.2.16",

language = "English",

volume = "67",

pages = "421--430",

journal = "Studia Universitatis Babes-Bolyai Mathematica",

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PY - 2022

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AB - 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.

KW - Halley method.

KW - Loewner chain

KW - Schwarzian derivative

KW - Univalence criterion

UR - http://www.scopus.com/inward/record.url?scp=85132355664&partnerID=8YFLogxK

U2 - 10.24193/subbmath.2022.2.16

DO - 10.24193/subbmath.2022.2.16

M3 - Article

AN - SCOPUS:85132355664

SN - 0252-1938

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JO - Studia Universitatis Babes-Bolyai Mathematica

JF - Studia Universitatis Babes-Bolyai Mathematica

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A criterion of univalence in Cn in terms of the Schwarzian derivative

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