Log-Concavity and Related Properties of
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Edward A. Bender; E.Rodney Canfield
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Article
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1996
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Elsevier Science
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English
⚖ 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)Ân)A n&1 A