Partially 2-colored permutations and the Boros–Moll polynomials

被引：0
|
作者：
William Y. C. Chen
Sabrina X. M. Pang
Ellen X. Y. Qu
机构：
[1] Nankai University,Center for Combinatorics, LPMC
[2] Hebei University of Economics and Business,TJKLC
[3] Ocean University of China,College of Mathematics and Statistics
来源：
The Ramanujan Journal | 2012年 / 27卷
关键词：
Partially 2-colored permutation; Boros–Moll polynomial; Rising factorial; Log-concavity; Bijection; 05A05; 05A10; 05A20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We find a combinatorial setting for the coefficients of the Boros–Moll polynomials Pm(a) in terms of partially 2-colored permutations. Using this model, we give a combinatorial proof of a recurrence relation on the coefficients of Pm(a). This approach enables us to give a combinatorial interpretation of the log-concavity of Pm(a) which was conjectured by Moll and confirmed by Kauers and Paule.
引用
收藏
页码：297 / 304
页数：7
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