Article contents
ON $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}\gamma $-VECTORS AND THE DERIVATIVES OF THE TANGENT AND SECANT FUNCTIONS
Published online by Cambridge University Press: 10 April 2014
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 arrays of Narayana polynomials, Legendre polynomials and Chebyshev polynomials of both kinds.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 90 , Issue 2 , October 2014 , pp. 177 - 185
- Copyright
- Copyright © 2014 Australian Mathematical Publishing Association Inc.
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