论文标题
Eulerian多项式和继承统计的伽马积极性
The gamma-positivity of Eulerian polynomials and succession statistics
论文作者
论文摘要
本文涉及通过使用继任和固定点统计数据的欧拉多项式伽马阳性的多元改进。研究了列举多项式的特性，用于研究置换，签名的排列和毁灭，包括生成功能和伽马积极性，这些功能概括和统一了Athanasiadis，Brenti，Chow，Chow，Petersen，Petersen，Roselle，Roselle，Roselle，Stembridge，Shin，Shin和Zeng的早期结果。特别是，我们得出了一个表达在扰动多项式方面对B型扰动的征收数量和负数统计的联合分布的公式。
This paper is concerned with multivariate refinements of the gamma-positivity of Eulerian polynomials by using the succession and fixed point statistics. Properties of the enumerative polynomials for permutations, signed permutations and derangements, including generating functions and gamma-positivity are studied, which generalize and unify earlier results of Athanasiadis, Brenti, Chow, Petersen, Roselle, Stembridge, Shin and Zeng. In particular, we derive a formula expressing the joint distribution of excedance number and negative number statistics over the type B derangements in terms of the derangement polynomials.
