English

Context-free grammars for several polynomials associated with Eulerian polynomials

Combinatorics 2016-09-20 v1

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.

Keywords

Cite

@article{arxiv.1609.05829,
  title  = {Context-free grammars for several polynomials associated with Eulerian polynomials},
  author = {Shi-Mei Ma and Jun Ma and Yeong-Nan Yeh and Bao-Xuan Zhu},
  journal= {arXiv preprint arXiv:1609.05829},
  year   = {2016}
}

Comments

14 pages

R2 v1 2026-06-22T15:54:26.838Z