Geodesic
Unbounded regions of infinitely logconcave sequences
The electronic journal of combinatorics, Tome 14 (2007)

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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 Boros and Moll that the binomial coefficients are $\infty$-logconcave.
DOI : 10.37236/990
Classification : 05A10, 39B12 
David Uminsky; Karen Yeats. Unbounded regions of infinitely logconcave sequences. The electronic journal of combinatorics, Tome 14 (2007). doi: 10.37236/990
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     author = {David Uminsky and Karen Yeats},
     title = {Unbounded regions of infinitely logconcave sequences},
     journal = {The electronic journal of combinatorics},
     year = {2007},
     volume = {14},
     doi = {10.37236/990},
     zbl = {1183.05001},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/990/}
}
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