English

Some Identities Related to the Second-Order Eulerian Numbers

Combinatorics 2021-04-21 v2

Abstract

We express the N\"{o}rlund polynomials in terms of the second-order Eulerian numbers. Based on this expression, we derive several identities related to the Bernoulli numbers. In particular, we present a short proof of the problem raised by Rz\c{a}dkowski and Urli\'{n}ska.

Keywords

Cite

@article{arxiv.2104.09316,
  title  = {Some Identities Related to the Second-Order Eulerian Numbers},
  author = {Amy M. Fu},
  journal= {arXiv preprint arXiv:2104.09316},
  year   = {2021}
}
R2 v1 2026-06-24T01:19:44.047Z