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math.CO2016★ 2 cited
The Real-rootedness of Generalized Narayana Polynomials
Herman Z. Q. Chen, Arthur L. B. Yang, Philip B. Zhang
In this paper, we prove the real-rootedness of two classes of generalized Narayana polynomials: one arising as the -polynomials of the generalized associahedron associated to th…
math.CO2016
Kirillov's unimodality conjecture for the rectangular Narayana polynomials
Herman Z. Q. Chen, Arthur L. B. Yang, Philip B. Zhang
In the study of Kostka numbers and Catalan numbers, Kirillov posed a unimodality conjecture for the rectangular Narayana polynomials. We prove that the rectangular Narayana polynom…