On γ-vectors and the derivatives of the tangent and secant functions

2013/04/24 by Shi-Mei Ma, Ma, Shi-Mei
Mathematics · #05A05 #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Inequalities and Applications #math.CO #msc:05A05

paper · pdf · doi:10.48550/arxiv.1304.6654

8 pages

openalex publication_date 2013/04/24 · arxiv created 2013/12/10 · arxiv updated 2013/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we consider the gamma-vectors of the types A and B Coxeter complexes as well as the gamma-vectors of the types A and B associahedrons. We show that these gamma-vectors can be obtained by using derivative polynomials of the tangent and secant functions. A grammatical description for these gamma-vectors is discussed. Moreover, we also present a grammatical description for the well known Legendre polynomials and Chebyshev polynomials of both kinds.

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