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Filomat
Article . 2024 . Peer-reviewed
License: CC 0
Data sources: Crossref
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arXiv.org e-Print Archive
Preprint . 2023
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2023
License: CC BY
Data sources: Datacite
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Multi-Stirling numbers of the second kind

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2024Embargo end date: 01 Jan 2023 English Publisher:National Library of SerbiaJournal:Filomat, volume 38, pages 8,653-8,661 (issn: 0354-5180, eissn: 2406-0933, Copyright policy )
Authors: Kim, Taekyun; Kim, Dae San; Kim, Hye Kyung;

doi: 10.2298/fil2424653k , 10.48550/arxiv.2303.00275

arXiv: http://arxiv.org/abs/2303.00275

Multi-Stirling numbers of the second kind

Abstract

The multi-Stirling numbers of the second kind, the unsigned multi-Stirling numbers of the first kind, the multi-Lah numbers and the multi-Bernoulli numbers are all defined with the help of the multiple logarithm, and generalize respectively the Stirling numbers of the second kind, the unsigned Stirling numbers of the first kind, the unsigned Lah numbers and the higher-order Bernoulli numbers. The aim of this paper is to introduce the multi-Stirling numbers of the second kind and to find several identities involving those four numbers defined by means of the multiple logarithm and some other special numbers.

Related Organizations
Keywords

Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), 11B68, 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!
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