9 citations · 49 across the 59 of their papers we have counts for
5 papers · 1 filter
Binomial expansions of Jacobi-Stirling numbers and real-rootedness of Jacobi-Stirling descent polynomials
Shi-Mei Ma, Ming-Xin Wang
In this paper, we first expand fixed diagonals of the Jacobi-Stirling numbers in a binomial basis. For the second kind, the expansion coefficients are polynomials in with non…
Eulerian insertion operators and an Eulerian form of the Pieri rule
Shi-Mei Ma
We study the operators obtained by inserting copies of a new largest letter into multiset permutations. Let denote the operator which inserts copies of a new largest lett…
A general method of deducing the determinantal expressions for polynomial and its derivative
Hongyi Lou, Shi-Mei Ma, Xinzhe Song +2
In this paper, we present a general method of deducing the determinantal expressions for a polynomial and its derivative. As illustrations, we provide three determinantal expressio…
The half interlacing property among the types A, B and D Eulerian polynomials
Shi-Mei Ma
A famous result in the theory of combinatorial polynomials is the real-rootedness of the type Eulerian polynomial , which was originally conjectured by Brenti in 1994.…
Eulerian-type polynomials over matchings and matching permutations
Shi-Mei Ma, Sergey Kitaev, Jean Yeh +1
Claesson and Linusson [Proc. Am. Math. Soc., 139 (2011), 435-449] observed that there are n! matchings on [2n] with no left-nestings. Inspired by this result, this paper is devoted…