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

4 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

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10.1007/s00605-018-1235-2

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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",

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AU - Hernández, Rodrigo

AU - Sierra, Willy

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KW - Harmonic mappings

KW - Normal family

KW - Normal mappings

KW - Univalent function

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Normal harmonic mappings

Abstract

Keywords

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