On the univalence of certain integral for harmonic mappings

Víctor Bravo; Rodrigo Hernández; Osvaldo Venegas

doi:10.1016/j.jmaa.2017.05.056

On the univalence of certain integral for harmonic mappings

Víctor Bravo
, Rodrigo Hernández
, Osvaldo Venegas

Faculty of Engineering and Science

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

6 Scopus citations

Abstract

We generalize the problem of univalence of the integral of f^′(z)^α when f is univalent to the complex harmonic mappings. To do this, we extend the univalence criterion by Ahlfors in [1] to those mappings.

Original language	English
Pages (from-to)	381-388
Number of pages	8
Journal	Journal of Mathematical Analysis and Applications
Volume	455
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2017.05.056
State	Published - 1 Nov 2017

Keywords

Harmonic mapping
Integral transform
Univalent functions

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10.1016/j.jmaa.2017.05.056

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title = "On the univalence of certain integral for harmonic mappings",

abstract = "We generalize the problem of univalence of the integral of f′(z)α when f is univalent to the complex harmonic mappings. To do this, we extend the univalence criterion by Ahlfors in [1] to those mappings.",

keywords = "Harmonic mapping, Integral transform, Univalent functions",

author = "V{\'i}ctor Bravo and Rodrigo Hern{\'a}ndez and Osvaldo Venegas",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2017",

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doi = "10.1016/j.jmaa.2017.05.056",

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T1 - On the univalence of certain integral for harmonic mappings

AU - Bravo, Víctor

AU - Hernández, Rodrigo

AU - Venegas, Osvaldo

PY - 2017/11/1

Y1 - 2017/11/1

N2 - We generalize the problem of univalence of the integral of f′(z)α when f is univalent to the complex harmonic mappings. To do this, we extend the univalence criterion by Ahlfors in [1] to those mappings.

AB - We generalize the problem of univalence of the integral of f′(z)α when f is univalent to the complex harmonic mappings. To do this, we extend the univalence criterion by Ahlfors in [1] to those mappings.

KW - Harmonic mapping

KW - Integral transform

KW - Univalent functions

UR - https://www.scopus.com/pages/publications/85020192699

U2 - 10.1016/j.jmaa.2017.05.056

DO - 10.1016/j.jmaa.2017.05.056

M3 - Article

AN - SCOPUS:85020192699

SN - 0022-247X

VL - 455

SP - 381

EP - 388

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

On the univalence of certain integral for harmonic mappings

Abstract

Keywords

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