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arxiv: 1609.05829 · v1 · pith:6TBGDE7Knew · submitted 2016-09-19 · 🧮 math.CO

Context-free grammars for several polynomials associated with Eulerian polynomials

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keywords polynomialsseveralassociatedeulerianalternatingapplicationscontext-freeconvolution
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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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