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

Faculty of Engineering and Science

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Pages (from-to)	425-439
Number of pages	15
Journal	Monatshefte fur Mathematik
Volume	190
Issue number	3
DOIs	https://doi.org/10.1007/s00605-018-1235-2
State	Published - 1 Nov 2019

Keywords

Harmonic mappings
Normal family
Normal mappings
Univalent function

Access to Document

10.1007/s00605-018-1235-2

Cite this

@article{49d9b147fcae4425a8bcc4000e11423c,

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",

month = nov,

day = "1",

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

language = "English",

volume = "190",

pages = "425--439",

journal = "Monatshefte fur Mathematik",

issn = "0026-9255",

publisher = "Springer",

number = "3",

}

TY - JOUR

T1 - Normal harmonic mappings

AU - Arbeláez, Hugo

AU - Hernández, Rodrigo

AU - Sierra, Willy

PY - 2019/11/1

Y1 - 2019/11/1

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

Abstract

Keywords

Access to Document

Fingerprint

Cite this