A new approach for the univalence of certain integral of harmonic mappings

Hugo Arbeláez; Victor Bravo; Rodrigo Hernández; Willy Sierra; Osvaldo Venegas

doi:10.1016/j.indag.2020.04.002

A new approach for the univalence of certain integral of harmonic mappings

Hugo Arbeláez
, Victor Bravo
, Rodrigo Hernández
, Willy Sierra
, Osvaldo Venegas

Facultad de Ingeniería y Ciencias

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

6 Citas (Scopus)

Resumen

The principal goal of this paper is to extend the classical problem of finding the values of α∈ℂ for which either fˆ_α(z)=∫₀^z(f(ζ)∕ζ)^αdζ or f_α(z)=∫₀^z(f^′(ζ))^αdζ are univalent, whenever f belongs to some subclasses of univalent mappings in D, to the case of harmonic mappings, by considering the shear construction introduced by Clunie and Sheil-Small in [4].

Idioma original	Inglés
Páginas (desde-hasta)	525-535
Número de páginas	11
Publicación	Indagationes Mathematicae
Volumen	31
N.º	4
DOI	https://doi.org/10.1016/j.indag.2020.04.002
Estado	Publicada - jul 2020

Acceder al documento

10.1016/j.indag.2020.04.002

Citar esto

@article{de77e7a1e4104b0fbf0a0144e902c53f,

title = "A new approach for the univalence of certain integral of harmonic mappings",

abstract = "The principal goal of this paper is to extend the classical problem of finding the values of α∈ℂ for which either fˆα(z)=∫0z(f(ζ)∕ζ)αdζ or fα(z)=∫0z(f′(ζ))αdζ are univalent, whenever f belongs to some subclasses of univalent mappings in D, to the case of harmonic mappings, by considering the shear construction introduced by Clunie and Sheil-Small in [4].",

keywords = "Geometric function theory, Integral transformation, Univalent mappings",

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

note = "Publisher Copyright: {\textcopyright} 2020 Royal Dutch Mathematical Society (KWG)",

year = "2020",

month = jul,

doi = "10.1016/j.indag.2020.04.002",

language = "English",

volume = "31",

pages = "525--535",

journal = "Indagationes Mathematicae",

issn = "0019-3577",

publisher = "Elsevier B.V.",

number = "4",

}

TY - JOUR

T1 - A new approach for the univalence of certain integral of harmonic mappings

AU - Arbeláez, Hugo

AU - Bravo, Victor

AU - Hernández, Rodrigo

AU - Sierra, Willy

AU - Venegas, Osvaldo

PY - 2020/7

Y1 - 2020/7

N2 - The principal goal of this paper is to extend the classical problem of finding the values of α∈ℂ for which either fˆα(z)=∫0z(f(ζ)∕ζ)αdζ or fα(z)=∫0z(f′(ζ))αdζ are univalent, whenever f belongs to some subclasses of univalent mappings in D, to the case of harmonic mappings, by considering the shear construction introduced by Clunie and Sheil-Small in [4].

AB - The principal goal of this paper is to extend the classical problem of finding the values of α∈ℂ for which either fˆα(z)=∫0z(f(ζ)∕ζ)αdζ or fα(z)=∫0z(f′(ζ))αdζ are univalent, whenever f belongs to some subclasses of univalent mappings in D, to the case of harmonic mappings, by considering the shear construction introduced by Clunie and Sheil-Small in [4].

KW - Geometric function theory

KW - Integral transformation

KW - Univalent mappings

UR - https://www.scopus.com/pages/publications/85083658557

U2 - 10.1016/j.indag.2020.04.002

DO - 10.1016/j.indag.2020.04.002

M3 - Article

AN - SCOPUS:85083658557

SN - 0019-3577

VL - 31

SP - 525

EP - 535

JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

IS - 4

ER -

A new approach for the univalence of certain integral of harmonic mappings

Resumen

Acceder al documento

Huella

Citar esto