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

Authors

  • S.-M. Ma Northeastern University at Qinhuangdao, Hebei 066004, P. R. China

Keywords:

Context-free grammars, Derivative polynomials, $\gamma$-vectors, Narayana polynomials, Legendre polynomials

Abstract

In this paper, we show that the γ-vectors of Coxeter complexes (of types A and B) and associahedrons (of types A and B) can be obtained by using derivative polynomials of the tangent and secant functions. We provide a unified grammatical approach to generate these γ-vectors and the coefficient array of Narayana polynomials, Legendre polynomials and Chebyshev polynomials of both kinds. DOI: 10.1017/S0004972714000057

Author Biography

S.-M. Ma, Northeastern University at Qinhuangdao, Hebei 066004, P. R. China

School of Mathematics and Statistics

Published

2014-08-03

Issue

Vol. 90 No. 2 (2014)

Section

Articles
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