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Preprint . 2024
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Russian Journal of Mathematical Physics
Article . 2024 . Peer-reviewed
License: Springer Nature TDM
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https://dx.doi.org/10.48550/ar...
Article . 2024
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Generalization of Spivey’s Recurrence Relation

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jun 2024Embargo end date: 01 Jan 2024 English Publisher:Pleiades Publishing LtdJournal:Russian Journal of Mathematical Physics, volume 31, pages 218-226 (issn: 1061-9208, eissn: 1555-6638, Copyright policy )
Authors: Kim, Taekyun; Kim, Dae San;

doi: 10.1134/s1061920824020079 , 10.48550/arxiv.2404.02413

arXiv: http://arxiv.org/abs/2404.02413

Generalization of Spivey’s Recurrence Relation

Abstract

In 2008, Spivey found a recurrence relation for the Bell numbers. We consider the probabilistic r-Bell polynomials associated with which are a probabilistic extension of the r-Bell polynomials. Here Y is a random variable whose moment generating function exists in some neighborhood of the origin . The aim of this paper is to generalize the relation for the Bell numbers to that for the probabilistic r-Bell polynomials associated with Y.

10 pages

Related Organizations
Keywords

Mathematics - Number Theory, FOS: Mathematics, Mathematics - Combinatorics, Number Theory (math.NT), Combinatorics (math.CO), 11B73, 11B83

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Average
Green