On the Eulerian Polynomials of Type D

2002/01/16 by Chak-On Chow, Chow, Chak-On
Mathematics · #05A15 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05A15

paper · pdf · doi:10.48550/arxiv.math/0201140

18 pages

arxiv created 2002/01/16 · openalex publication_date 2002/01/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce sub-Eulerian polynomials to count elements of D_n by which a recurrence relation for the Eulerian polynomials of type D is obtained.

Citations

• q-Eulerian Polynomials Arising from Coxeter Groups

Related

• Recurrences for Eulerian polynomials of type B and type D
• Recurrence relations for binomial-Eulerian polynomials
• General Eulerian Numbers and Eulerian Polynomials
• Width-k Eulerian polynomials of type A and B and its Gamma-positivity
• Degenrate Eulerian numbers and polynomials