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Total positivity of Narayana matrices

Combinatorics 2017-02-28 v1 Classical Analysis and ODEs

Abstract

We prove the total positivity of the Narayana triangles of type AA and type BB, and thus affirmatively confirm a conjecture of Chen, Liang and Wang and a conjecture of Pan and Zeng. We also prove the strict total positivity of the Narayana squares of type AA and type BB.

Keywords

Cite

@article{arxiv.1702.07822,
  title  = {Total positivity of Narayana matrices},
  author = {Yi Wang and Arthur L. B. Yang},
  journal= {arXiv preprint arXiv:1702.07822},
  year   = {2017}
}

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10 pages