Radius of Starlikeness for Classes of Analytic Functions

We consider normalized analytic function f on the open unit disk for which either R e f ( z ) / g ( z ) > 0 , | f ( z ) / g ( z ) - 1 | < 1 or R e ( 1 - z 2 ) f ( z ) / z > 0 for some analytic function g with R e ( 1 - z 2 ) g ( z ) / z > 0 . We have obtained the radii for these function...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Bulletin of the Malaysian Mathematical Sciences Society 2020-11, Vol.43 (6), p.4469-4493
Hauptverfasser: Lee, See Keong, Khatter, Kanika, Ravichandran, V.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We consider normalized analytic function f on the open unit disk for which either R e f ( z ) / g ( z ) > 0 , | f ( z ) / g ( z ) - 1 | < 1 or R e ( 1 - z 2 ) f ( z ) / z > 0 for some analytic function g with R e ( 1 - z 2 ) g ( z ) / z > 0 . We have obtained the radii for these functions to belong to various subclasses of starlike functions. The subclasses considered include the classes of starlike functions of order α , lemniscate starlike functions and parabolic starlike functions.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-020-01028-0