Generalization of Spivey’s Recurrence Relation

Generalization of Spivey’s Recurrence Relation

In 2008, Spivey found a recurrence relation for the Bell numbers . We consider the probabilistic -Bell polynomials associated with , , which are a probabilistic extension of the -Bell polynomials. Here is a random variable whose moment generating function exists in some neighborhood of the origin an...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Russian journal of mathematical physics 2024-06, Vol.31 (2), p.218-226
Hauptverfasser: Kim, T., Kim, D. S.
Format: Artikel
Sprache:eng
Schlagworte:
14/34
639/766/189
639/766/530
639/766/747
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In 2008, Spivey found a recurrence relation for the Bell numbers . We consider the probabilistic -Bell polynomials associated with , , which are a probabilistic extension of the -Bell polynomials. Here is a random variable whose moment generating function exists in some neighborhood of the origin and . The aim of this paper is to generalize the relation for the Bell numbers to that for the probabilistic -Bell polynomials associated with .
ISSN:1061-9208
1555-6638
DOI:10.1134/S1061920824020079