English

Total positivity of Riordan arrays

Combinatorics 2016-01-22 v1

Abstract

We present sufficient conditions for total positivity of Riordan arrays. As applications we show that many well-known combinatorial triangles are totally positive and many famous combinatorial numbers are log-convex in a unified approach.

Keywords

Cite

@article{arxiv.1601.05637,
  title  = {Total positivity of Riordan arrays},
  author = {Xi Chen and Huyile Liang and Yi Wang},
  journal= {arXiv preprint arXiv:1601.05637},
  year   = {2016}
}