On the Linear Combinations of Slanted Half-Plane Harmonic Mappings

On the Linear Combinations of Slanted Half-Plane Harmonic Mappings

‎In this paper,  the sufficient conditions for the linear combinations of slanted half-plane harmonic mappings to be univalent and convex in the direction of $(-gamma) $ are studied. Our result improves some recent works. Furthermore, a illustrative example and imagine domains of the linear combinat...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Sahand communications in mathematical analysis 2019-04, Vol.14 (1), p.89-96
Hauptverfasser: Ahmad Zireh, Mohammad Mehdi Shabani
Format: Artikel
Sprache:eng
Schlagworte:
Harmonic univalent mappings
Linear combination
Slanted half-plane mappings
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:‎In this paper,  the sufficient conditions for the linear combinations of slanted half-plane harmonic mappings to be univalent and convex in the direction of $(-gamma) $ are studied. Our result improves some recent works. Furthermore, a illustrative example and imagine domains of the linear combinations satisfying the desired conditions are enumerated.
ISSN:2322-5807
2423-3900
DOI:10.22130/scma.2018.72574.293