Context-Free Grammars for Several Polynomials Associated with Eulerian Polynomials

Shi-Mei Ma, Jun Ma, Yeong‐Nan Yeh, Bao-Xuan Zhu · The Electronic Journal of Combinatorics · 2018

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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