Extensions for certain subordination relations

Extensions for certain subordination relations

For some complex number [gamma] which has a positive real part, a certain subordination relation concerned with the Bernardi integral operator [I.sub.[gamma]] was proven by D. J. Hallenbeck and St. Ruscheweyh (Proc. Amer. Math. Soc. 52(1975), 191-195). By considering the analyticity of the functions...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:TWMS journal of applied and engineering mathematics 2014-01, Vol.4 (1), p.56
1. Verfasser: Kuroki, Kazuo
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applied mathematics
Engineering
Functional equations
Functions
Functions of complex variables
Integral equations
Mathematical analysis
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:For some complex number [gamma] which has a positive real part, a certain subordination relation concerned with the Bernardi integral operator [I.sub.[gamma]] was proven by D. J. Hallenbeck and St. Ruscheweyh (Proc. Amer. Math. Soc. 52(1975), 191-195). By considering the analyticity of the functions defined by the Bernardi integral operator [I.sub.[gamma]] for some non-zero complex number [gamma] with Re [gamma] [less than or equal to] 0, an extension for certain subordination relation are discussed. Keywords: Analytic function, Univalent function, Integral operator, Subordination. AMS Subject Classification: Primary 30C45.
ISSN:2146-1147
2146-1147