Commuting Eulerian operators

被引：0
|
作者：
Ma, Shi-Mei [1 ]
Qi, Hao [2 ]
Yeh, Jean [3 ]
Yeh, Yeong-Nan [2 ]
机构：
[1] Northeastern Univ Qinhuangdao, Sch Math & Stat, Qinhuangdao, Hebei, Peoples R China
[2] Wenzhou Univ, Coll Math & Phys, Wenzhou 325035, Peoples R China
[3] Natl Kaohsiung Normal Univ, Dept Math, Kaohsiung 82444, Taiwan
来源：
DISCRETE APPLIED MATHEMATICS | 2024年 / 342卷
基金：
中国国家自然科学基金;
关键词：
Eulerian operators; Eulerian polynomials; Unimodality; Gamma-positivity; POLYNOMIALS; UNIMODALITY; NUMBERS;
D O I：
10.1016/j.dam.2023.09.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Motivated by the work of Visontai and Dey-Sivasubramanian on the gamma-positivity of some polynomials, we discover the commutative property of a pair of Eulerian operators. As an application, we show the bi-gamma-positivity of the descent polynomials on permutations of the multiset {1a1 , 2a2, ... , nan }, where 0 5 ai 5 2. Therefore, these descent polynomials are all alternatingly increasing, and so they are unimodal with modes in the middle. (c) 2023 Elsevier B.V. All rights reserved.
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页码：355 / 361
页数：7
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