19 citations · 22 across the 4 of their papers we have counts for
5 papers
Stable multivariate Narayana polynomials and labeled plane trees
Harold R. L. Yang, Philip B. Zhang
In this paper, we introduce stable multivariate generalizations of Narayana polynomials of type A and type B. We give an insertion algorithm for labeled plane trees and introduce t…
A Context-free Grammar for the Ramanujan-Shor Polynomials
William Y. C. Chen, Harold R. L. Yang
Ramanujan defined the polynomials in his study of power series inversion. Berndt, Evans and Wilson obtained a recurrence relation for . In a different cont…
Decomposition of Triply Rooted Trees
William Y. C. Chen, Janet F. F. Peng, Harold R. L. Yang
In this paper, we give a decomposition of triply rooted trees into three doubly rooted trees. This leads to a combinatorial interpretation of an identity conjectured by Lacasse in…
On the Maximum Number of k-Hooks of Partitions of n
Anna R. B. Fan, Harold R. L. Yang, Rebecca T. Yu
Let denote the number of -hooks in a partition and let be the maximum value of among partitions of . Amdeberhan posed a conjecture on the gener…
Context-free Grammars and Multivariate Stable Polynomials over Stirling Permutations
William Y. C. Chen, Robert X. J. Hao, Harold R. L. Yang
Recently, Haglund and Visontai established the stability of the multivariate Eulerian polynomials as the generating polynomials of the Stirling permutations, which serves as a unif…