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Log-concavity and unimodality of compound polynomials

✍ Scribed by Zhu, Bao-Xuan


Book ID
123341206
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
355 KB
Volume
313
Category
Article
ISSN
0012-365X

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Log-Concavity and Related Properties of
✍ Edward A. Bender; E.Rodney Canfield πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 520 KB

Let A n denote the nth-cycle index polynomial, in the variables X j , for the symmetric group on n letters. We show that if the variables X j are assigned nonnegative real values which are log-concave, then the resulting quantities A n satisfy the two inequalities A n&1 A n+1 A 2 n ((n+1)Γ‚n)A n&1 A