Context-free grammars for several polynomials associated with Eulerian polynomials

Published 19 Sep 2016 in math.CO | (1609.05829v1)

Abstract: In this paper, we present grammatical descriptions of several polynomials associated with Eulerian polynomials, including q-Eulerian polynomials, alternating run polynomials and derangement polynomials. As applications, we get several convolution formulas involving these polynomials.

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