Positivity of the Generalized Translation Associated with the q-Hankel Transform

Positivity of the Generalized Translation Associated with the q-Hankel Transform

Using a new formulation of Graf’s addition formula related to the third Jackson q -Bessel function, we study the positivity of the generalized q -translation operator associated with the q -Hankel transform.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Constructive approximation 2011-12, Vol.34 (3), p.453-472
Hauptverfasser: Fitouhi, Ahmed, Dhaouadi, Lazhar
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
Numerical Analysis
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Using a new formulation of Graf’s addition formula related to the third Jackson q -Bessel function, we study the positivity of the generalized q -translation operator associated with the q -Hankel transform.
ISSN:0176-4276
1432-0940
DOI:10.1007/s00365-011-9132-0