On \(\gamma\)-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 \(\gamma\)-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 \(\gamma\)-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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