Log-Concavity and the Exponential Formula
Copyright policy )Log-Concavity and the Exponential Formula
\textit{E. A. Bender} and \textit{E. R. Canfield} [J. Comb. Theory, Ser. A 74, No. 1, 57-70, Art. No. 0037 (1996; Zbl 0853.05013)] showed that passing a log-concave sequence through the exponential formula results in a log-concave sequence that is almost log-convex. The author generalizes this result to \(q\)-log-concavity, using in his proof also the theory of symmetric functions, and giving applications to \(q\)-binomial coefficients, and coloured and marked permutations.
- University of Minnesota United States
- Mississippi School for Mathematics and Science United States
- University of Minnesota United States
- University of Minnesota System United States
- University of Minnesota-Twin Cities United States
exponential formula, log-concave sequence, Computational Theory and Mathematics, \(q\)-calculus and related topics, Exact enumeration problems, generating functions, \(q\)-log-concavity, Discrete Mathematics and Combinatorics, symmetric functions, Theoretical Computer Science
exponential formula, log-concave sequence, Computational Theory and Mathematics, \(q\)-calculus and related topics, Exact enumeration problems, generating functions, \(q\)-log-concavity, Discrete Mathematics and Combinatorics, symmetric functions, Theoretical Computer Science
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