中文

$q$-Eulerian polynomials and polynomials with only real zeros

组合数学 2010-08-17 v2

摘要

Let ff and FF be two polynomials satisfying F(x)=u(x)f(x)+v(x)f(x)F(x)=u(x)f(x)+v(x)f'(x). We characterize the relation between the location and multiplicity of the real zeros of ff and FF, which generalizes and unifies many known results, including the results of Brenti and Br\"and\'en about the qq-Eulerian polynomials.

关键词

引用

@article{arxiv.math/0611826,
  title  = {$q$-Eulerian polynomials and polynomials with only real zeros},
  author = {S. -M. Ma and Yi Wang},
  journal= {arXiv preprint arXiv:math/0611826},
  year   = {2010}
}

备注

8 pages, minor corrections