SUBORDINATION RESULTS FOR A FRACTIONAL INTEGRAL OPERATOR

SUBORDINATION RESULTS FOR A FRACTIONAL INTEGRAL OPERATOR

In this paper, we establish several differential subordinations regarding the operator D^(−λ)_z SR^(m,n) defined using the fractional integral of the differential operator SR^(m,n), obtained as a convolution product of Salagean operator S^m and Ruscheweyh derivative R^n. By means of the newly obtain...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Issues of analysis 2022, Vol.11 (29) (1), p.20-31
1. Verfasser: A. Alb Lupaş
Format: Artikel
Sprache:eng
Schlagworte:
analytic function
convolution product
differential subordination
fractional integral
ruscheweyh derivative
salagean operator
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we establish several differential subordinations regarding the operator D^(−λ)_z SR^(m,n) defined using the fractional integral of the differential operator SR^(m,n), obtained as a convolution product of Salagean operator S^m and Ruscheweyh derivative R^n. By means of the newly obtained operator, a new subclass of analytic functions denoted by SR_(m,n,λ)(δ) is introduced and various properties and characteristics of this class are derived, makinguse of the concept of differential subordination.
ISSN:2306-3424
2306-3432
DOI:10.15393/j3.art.2022.10550