Log-concavity and the exponential formula
type: Item
instance of: scholarly article
title: Log-concavity and the exponential formula
zbMATH Open document ID: 0918.05009
author: Ernesto Schirmacher
published in: Journal of Combinatorial Theory. Series A
publication date: 1999-08-19T00:00:00Z
review text: \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.
reviewed by: Indulis Strazdins
Mathematics Subject Classification ID: 05A30
Mathematics Subject Classification ID: 05A15
zbMATH DE Number: 1271725
zbMATH Keywords: \(q\)-log-concavity
zbMATH Keywords: log-concave sequence
zbMATH Keywords: exponential formula
zbMATH Keywords: symmetric functions
describes a project that uses: OEIS
MaRDI profile type: Publication
full work available at URL: jcta.1998.2896
OpenAlex ID: W2090335639
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DOI: 10.1006/JCTA.1998.2896
description: scientific article; zbMATH DE number 1271725