English

A new combinatorial formula for alternating descent polynomials

Combinatorics 2022-07-14 v1

Abstract

We prove a combinatorial formula for the alternating descent polynomials of type A and B. Combining with Josuat-Verg\`es' combinatorial interpretation for Hoffman's derivative polynomials for tangent and secant functions, we obtain a unified combinatorial proof of Ma-Yeh's two formulae linking these two families of polynomials.

Keywords

Cite

@article{arxiv.2207.06212,
  title  = {A new combinatorial formula for alternating descent polynomials},
  author = {Qiongqiong Pan},
  journal= {arXiv preprint arXiv:2207.06212},
  year   = {2022}
}
R2 v1 2026-06-25T00:52:55.191Z