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Article . 2020
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Recurrences of Stirling and Lah numbers via second kind Bell polynomials

Recurrences of Stirling and Lah numbers via second kind Bell polynomial
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2020 Italy Publisher:Shahin Digital Publisher, GujratJournal:Discrete Mathematics Letters (issn: 2664-2557, Copyright policy )
Authors: Qi F.; Natalini P.; Ricci P. E.;

handle: 11590/368945

Recurrences of Stirling and Lah numbers via second kind Bell polynomials

Abstract

Summary: In the paper, by virtue of several explicit formulas for special values and a recurrence of the Bell polynomials of the second kind, the authors derive several recurrences for the Stirling numbers of the first and second kinds, for 1-associate Stirling numbers of the second kind, for the Lah numbers, and for the binomial coefficients.

Country
Italy
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Keywords

recurrence, Binomial coefficients; factorials; \(q\)-identities, Bell polynomial of the second kind, Special sequences and polynomials, QA1-939, Bell and Stirling numbers, Stirling number, 1-associate Stirling number of the second kind, Mathematics, Lah number

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selected citations
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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.
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