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Journal of Combinatorial Theory Series A
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Journal of Combinatorial Theory Series A
Article . 1973
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Article . 1973 . Peer-reviewed
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On the maximum of Stirling numbers of the second kind

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1973 English Publisher:Elsevier BVJournal:Journal of Combinatorial Theory, Series A, volume 15, pages 11-24 (issn: 0097-3165, Copyright policy )
Authors: V.V Menon;

doi: 10.1016/0097-3165(73)90032-0

On the maximum of Stirling numbers of the second kind

Abstract

AbstractA technique is illustrated for finding an estimate of the Stirling numbers of the second kind, Sn, r(1 ⩽ r ⩽ n), as n → ∞, for a certain range of values of r. It is shown how the estimation can be found to any given degree of approximation. Finally, the location of the maximum of Sn, r (1 ⩽ r ⩽ n) and the value of the maximum are computed.

Related Organizations
Keywords

Combinatorial aspects of partitions of integers, Computational Theory and Mathematics, Bell and Stirling numbers, Discrete Mathematics and Combinatorics, 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!
23
Top 10%
Top 10%
Average
hybrid