On the Location of the Maximum Stirling Number(s) of the Second Kind

DOI10.1002/sapm197859183zbMath0392.10015OpenAlexW2467387062MaRDI QIDQ4173430

E. Rodney Canfield

Publication date: 1978

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm197859183

zbMATH Keywords

generating functionsStirling numbers of the second kind

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73)

Related Items (17)

An elementary approach to the location of the maximum Stirling number(s) of the second kind ⋮ Maximum antichains of rectangular arrays ⋮ An almost accurate location of the maximum Stirling number(s) of the second kind ⋮ Log-concavity and unimodality of compound polynomials ⋮ A simple counterexample to a conjecture of Rota ⋮ The global theory of flows in networks ⋮ On a problem of Rota ⋮ Restricted growth functions, rank row matchings of partition lattices, and q-Stirling numbers ⋮ The $t$-successive associated Stirling numbers, $t$-Fibonacci--Stirling numbers, and unimodality ⋮ The 2-successive associated Stirling numbers, Fibonacci-Stirling numbers and unimodality ⋮ Proof of a conjecture on unimodality ⋮ Superantichains in the Lattice of Partitions of a Set ⋮ On a problem of Rota ⋮ On the uniqueness conjecture for the maximum Stirling numbers of the second kind ⋮ Maximum antichains in the partition lattice ⋮ An empirical distribution of the number of subsets in the core partitions of hedonic games ⋮ Bounds on the location of the maximum Stirling numbers of the second kind

Cites Work

• Stirling Behavior is Asymptotically Normal
• Concavity properties and a generating function for stirling numbers

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