Unbounded regions of Infinitely Logconcave Sequences

Details Unbounded regions of Infinitely Logconcave Sequences Unbounded regions of Infinitely Logconcave Sequences

2007-03-26

arxiv.org/abs/math/0703770v2

Elec. J. Combin. 14 (2007), #R72

Mathematics

Combinatorics

12 pages, final version incorporating referee's comments. Now published by the Electronic Journal of Combinatorics http://ww

Scientific paper

We study the properties of a logconcavity operator on a symmetric, unimodal
subset of finite sequences. In doing so we are able to prove that there is a
large unbounded region in this subset that is $\infty$-logconcave. This problem
was motivated by the conjecture of Moll and Boros in that the binomial
coefficients are $\infty$-logconcave.

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