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

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

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

Acceder al documento

10.24193/subbmath.2022.2.16

Citar esto

@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",

issn = "0252-1938",

publisher = "Babes-Bolyai University",

number = "2",

}

TY - JOUR

T1 - A criterion of univalence in Cn in terms of the Schwarzian derivative

AU - Hernandez, Rodrigo

PY - 2022

Y1 - 2022

N2 - 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.

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

VL - 67

SP - 421

EP - 430

JO - Studia Universitatis Babes-Bolyai Mathematica

JF - Studia Universitatis Babes-Bolyai Mathematica

IS - 2

ER -

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

Resumen

Acceder al documento

Huella

Citar esto