9 citations · 49 across the 59 of their papers we have counts for
5 papers · 1 filter
Determinantal representations of alternating run polynomials
Shi-Mei Ma, Hong Bian, Jun-Ying Liu +2
Based on a determinantal formula for the higher derivative of a quotient of two functions, we first present the determinantal expressions of Eulerian polynomials and Andre polynomi…
A curious symmetric decomposition of the (des, exc)-Eulerian polynomials
Shi-Mei Ma, Toufik Mansour, Yeong-Nan Yeh
One of the most central result in combinatorics says that the descent statistic and the excedance statistic are equidistribued over the symmetric group. As a continuation of the wo…
Stirling permutation codes. II
Shi-Mei Ma, Hao Qi, Jean Yeh +1
In the context of Stirling polynomials, Gessel and Stanley introduced the definition of Stirling permutation, which has attracted extensive attention over the past decades. Recentl…
Normal ordered grammars
Shi-Mei Ma, Toufik Mansour, Jean Yeh +1
We introduce the theory of normal ordered grammars, which gives a natural generalization of the normal ordering problem. To illustrate the main idea, we explore normal ordered gram…
On the joint distributions of succession and Eulerian statistics
Shi-Mei Ma, Hao Qi, Jean Yeh +1
The motivation of this paper is to investigate the joint distribution of succession and Eulerian statistics. We first investigate the enumerators for the joint distribution of desc…