Subclass of Analytic Functions Related with Pascal Distribution Series

Subclass of Analytic Functions Related with Pascal Distribution Series

The prime purpose of this article is to derive a necessary and sufficient condition for a linear operator associated with the Pascal distribution series to be in the class TSμ,σ,δ of analytic functions. Moreover, inclusion relation and an integral operator linked to the Pascal distribution series is...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematics (Hidawi) 2022, Vol.2022 (1)
Hauptverfasser: Shammaky, Amnah E., Frasin, Basem Aref, Seoudy, Tamer M.
Format: Artikel
Sprache:eng
Schlagworte:
Analytic functions
Applied mathematics
Convex analysis
Linear operators
Mathematical analysis
Mathematics
Operators (mathematics)
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The prime purpose of this article is to derive a necessary and sufficient condition for a linear operator associated with the Pascal distribution series to be in the class TSμ,σ,δ of analytic functions. Moreover, inclusion relation and an integral operator linked to the Pascal distribution series is considered. We have also provided some results as corollaries of our theorems.
ISSN:2314-4629
2314-4785
DOI:10.1155/2022/8355285