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arxiv: 1702.07822 · v1 · pith:JGRXMIFAnew · submitted 2017-02-25 · 🧮 math.CO · math.CA

Total positivity of Narayana matrices

classification 🧮 math.CO math.CA
keywords typenarayanapositivitytotalconjectureproveaffirmativelychen
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We prove the total positivity of the Narayana triangles of type $A$ and type $B$, 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 $A$ and type $B$.

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