English

Note on the real rootedness of polynomials

Number Theory 2017-12-08 v2

Abstract

In this paper, by the generalized Bell umbra and Rolle's theorem, we give some results on the real rootedness of polynomials. Some applications on partition polynomials and the sigma polynomials of graphs are given.

Keywords

Cite

@article{arxiv.1709.07910,
  title  = {Note on the real rootedness of polynomials},
  author = {Abdelkader Benyattou and Miloud Mihoubi},
  journal= {arXiv preprint arXiv:1709.07910},
  year   = {2017}
}

Comments

7 pages

R2 v1 2026-06-22T21:52:19.263Z