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Log-Concavity and the Exponential Formula

✍ Scribed by Ernesto Schirmacher

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
103 KB
Volume
85
Category
Article
ISSN
0097-3165

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✦ Synopsis

A 1996 result of Bender and Canfield showed that passing a log-concave sequence through the exponential formula resulted in a log-concave sequence which was almost log-convex. We generalize that result to q log-concavity. Our proof follows Bender and Canfield for one part. For the other part, we use the theory of symmetric functions to show that the second part of the Bender Canfield result follows directly from the first part. We also give several corollaries and examples.

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