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.
引用
下载
收藏
页码：869 / 881
页数：13
相关论文
共 50 条
  • [21] On Derangement Polynomials of Type D
    Chow, Chak-On
    TAIWANESE JOURNAL OF MATHEMATICS, 2023, 27 (04): : 629 - 646
  • [22] Two new triangles of q-integers via q-Eulerian polynomials of type A and B
    Guoniu Han
    Frédéric Jouhet
    Jiang Zeng
    The Ramanujan Journal, 2013, 31 : 115 - 127
  • [23] Two new triangles of q-integers via q-Eulerian polynomials of type A and B
    Han, Guoniu
    Jouhet, Frederic
    Zeng, Jiang
    RAMANUJAN JOURNAL, 2013, 31 (1-2): : 115 - 127
  • [24] BRENTI'S OPEN PROBLEM ON THE REAL-ROOTEDNESS OF q-EULERIAN POLYNOMIALS OF TYPE D
    Yang, Arthur L. B.
    Zhang, Philip B.
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2017, 31 (02) : 918 - 926
  • [25] Apostol type (p, q)-Frobenius-Eulerian polynomials and numbers
    Khan, W. A.
    Khan, I. A.
    Duran, U.
    Acikgoz, M.
    AFRIKA MATEMATIKA, 2021, 32 (1-2) : 115 - 130
  • [26] Eulerian polynomials and B-splines
    He, Tian-Xiao
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2012, 236 (15) : 3763 - 3773
  • [27] Derangement Polynomials and Excedances of Type B
    Chen, William Y. C.
    Tang, Robert L.
    Zhao, Alina F. Y.
    ELECTRONIC JOURNAL OF COMBINATORICS, 2009, 16 (02):
  • [28] Planar harmonic polynomials of type B
    Dunkl, CF
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (46): : 8095 - 8110
  • [29] A New Class of Laguerre-based Frobenius Type Eulerian Numbers and Polynomials
    Khan, Waseem Ahmad
    Nisar, Kottakkaran Sooppy
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2023, 41
  • [30] On derangement polynomials of type B. II
    Chow, Chak-On
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2009, 116 (04) : 816 - 830
12345