ON SPIRALLIKE FUNCTIONS RELATED TO BOUNDED RADIUS ROTATION

ON SPIRALLIKE FUNCTIONS RELATED TO BOUNDED RADIUS ROTATION

In the present paper, we prove the growth and distortion theorems for the spirallike functions class S k (λ) related to boundary radius rotation, and by using the distortion result, we get an estimate for the Gaussian curvature of a minimal surface lifted by a harmonic function whose analytic part b...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Honam mathematical journal 2022-03, Vol.44 (1), p.98-109
Hauptverfasser: Cetinkaya, Asena, Tastan, Hakan Mete
Format: Artikel
Sprache:kor
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In the present paper, we prove the growth and distortion theorems for the spirallike functions class S k (λ) related to boundary radius rotation, and by using the distortion result, we get an estimate for the Gaussian curvature of a minimal surface lifted by a harmonic function whose analytic part belongs to the class S k (λ). Moreover, we determine and draw the minimal surface corresponding to the harmonic Koebe function.
ISSN:1225-293X