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A unified approach to infinite log-concavity of combinatorial sequences

Xie, Matthew H. Y. et al.
arXiv (All) · Papers
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combinatorics
We establish a sufficient condition for infinite log-concavity and apply it to five families of combinatorial sequences. We give a new proof of infinite log-concavity for the Boros--Moll coefficient sequences $(d_k(n))_{k=0}^n$ for fixed $n$. For the transposed sequences $(d_\ell(\ell+k))_{k\ge0}$,
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