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Stirling number representations

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2006 English Publisher:Elsevier BVJournal:Discrete Mathematics, volume 306, pages 478-494 (issn: 0012-365X, Copyright policy )
Authors: David Branson;

doi: 10.1016/j.disc.2005.11.013

Stirling number representations

Abstract

AbstractStirling numbers of the first and second kinds, s(n,k) and S(n,k), may be defined by means of recurrence relations together with a set of initial values. This paper discusses the ambiguities that arise within this prescription when n takes negative values.

Related Organizations
Keywords

Stirling number, Stirling's formula, Discrete Mathematics and Combinatorics, Formal power series, Generating function, Factorial series, Theoretical Computer Science

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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!
7
Average
Average
Average
hybrid