Partially 2-Colored Permutations and the Boros-Moll Polynomials
Combinatorics
2010-08-30 v1 Classical Analysis and ODEs
Abstract
We find a combinatorial setting for the coefficients of the Boros-Moll polynomials in terms of partially 2-colored permutations. Using this model, we give a combinatorial proof of a recurrence relation on the coefficients of . This approach enables us to give a combinatorial interpretation of the log-concavity of which was conjectured by Moll and confirmed by Kauers and Paule.
Cite
@article{arxiv.1008.4740,
title = {Partially 2-Colored Permutations and the Boros-Moll Polynomials},
author = {William Y. C. Chen and Sabrina X. M. Pang and Ellen X. Y. Qu},
journal= {arXiv preprint arXiv:1008.4740},
year = {2010}
}
Comments
9 pages