Normal harmonic mappings

Hugo Arbeláez; Rodrigo Hernández; Willy Sierra

doi:10.1007/s00605-018-1235-2

Normal harmonic mappings

Hugo Arbeláez
, Rodrigo Hernández
, Willy Sierra

Facultad de Ingeniería y Ciencias

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

6 Citas (Scopus)

Resumen

The main purpose of this paper is to study the concept of normal function in the context of harmonic mappings from the unit disk D to the complex plane. In particular, we obtain necessary conditions for a function f to be normal.

Idioma original	Inglés
Páginas (desde-hasta)	425-439
Número de páginas	15
Publicación	Monatshefte fur Mathematik
Volumen	190
N.º	3
DOI	https://doi.org/10.1007/s00605-018-1235-2
Estado	Publicada - 1 nov 2019

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title = "Normal harmonic mappings",

abstract = "The main purpose of this paper is to study the concept of normal function in the context of harmonic mappings from the unit disk D to the complex plane. In particular, we obtain necessary conditions for a function f to be normal.",

keywords = "Harmonic mappings, Normal family, Normal mappings, Univalent function",

author = "Hugo Arbel{\'a}ez and Rodrigo Hern{\'a}ndez and Willy Sierra",

note = "Publisher Copyright: {\textcopyright} 2018, Springer-Verlag GmbH Austria, ein Teil von Springer Nature.",

year = "2019",

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doi = "10.1007/s00605-018-1235-2",

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T1 - Normal harmonic mappings

AU - Arbeláez, Hugo

AU - Hernández, Rodrigo

AU - Sierra, Willy

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N2 - The main purpose of this paper is to study the concept of normal function in the context of harmonic mappings from the unit disk D to the complex plane. In particular, we obtain necessary conditions for a function f to be normal.

AB - The main purpose of this paper is to study the concept of normal function in the context of harmonic mappings from the unit disk D to the complex plane. In particular, we obtain necessary conditions for a function f to be normal.

KW - Harmonic mappings

KW - Normal family

KW - Normal mappings

KW - Univalent function

UR - https://www.scopus.com/pages/publications/85057604425

U2 - 10.1007/s00605-018-1235-2

DO - 10.1007/s00605-018-1235-2

M3 - Article

AN - SCOPUS:85057604425

SN - 0026-9255

VL - 190

SP - 425

EP - 439

JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

IS - 3

ER -

Normal harmonic mappings

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