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Applicable Analysis and Discrete Mathematics
Article . 2023 . Peer-reviewed
License: CC BY
Data sources: Crossref
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arXiv.org e-Print Archive
Preprint . 2022
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zbMATH Open
Article . 2023
Data sources: zbMATH Open
https://dx.doi.org/10.48550/ar...
Article . 2022
License: CC BY
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Some results on degenerate Fubini and degenerate Bell polynomials

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2023Embargo end date: 01 Jan 2022 English Publisher:National Library of SerbiaJournal:Applicable Analysis and Discrete Mathematics, volume 17, pages 548-560 (issn: 1452-8630, eissn: 2406-100X, Copyright policy )
Authors: Kim, Taekyun; Kim, Dae San;

doi: 10.2298/aadm200310035k , 10.48550/arxiv.2203.00217

arXiv: 2203.00217

Some results on degenerate Fubini and degenerate Bell polynomials

Abstract

The aim of this paper is to further study some properties and identities on the degenerate Fubini and the degenerate Bell polynomials which are degenerate versions of the Fubini and the Bell polynomials, respectively. Especially, we find several expressions for the generating function of the sum of the values of the generalized falling factorials at positive consecutive integers.

Related Organizations
Keywords

Mathematics - Number Theory, 11B73, 11B83,, Special sequences and polynomials, FOS: Mathematics, Bell and Stirling numbers, degenerate Fubini polynomials, degenerate Bell polynomials, Number Theory (math.NT)

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selected citations
These citations are derived from selected sources.
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!
5
Top 10%
Average
Top 10%
Green
gold