Recurrences for Eulerian Polynomials of Type B and Type D

被引：7
|
作者：
Hyatt, Matthew [1 ,2 ]
机构：
[1] Lehigh Univ, Dept Math, Bethlehem, PA 18015 USA
[2] Pace Univ, Dept Math, Pleasantville, NY 10570 USA
来源：
ANNALS OF COMBINATORICS | 2016年 / 20卷 / 04期
关键词：
Eulerian polynomials; descent number; type B Coxeter group; signed permutations; type D Coxeter group; even signed permutations; interlacing roots; compatible polynomials;
D O I：
10.1007/s00026-016-0327-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce new recurrences for the type B and type D Eulerian polynomials, and interpret them combinatorially. These recurrences are analogous to a well-known recurrence for the type A Eulerian polynomials. We also discuss their relationship to polynomials introduced by Savage and Visontai in connection to the real-rootedness of the corresponding Eulerian polynomials.
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页码：869 / 881
页数：13
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