22 citations · 26 across the 9 of their papers we have counts for
4 papers · 1 filter
Equidistributions around special kinds of descents and excedances
Bin Han, Jianxi Mao, Jiang Zeng
We consider a sequence of four variable polynomials by refining Stieltjes' continued fraction for Eulerian polynomials. Using combinatorial theory of Jacobi-type continued fraction…
Equidistributions of mesh patterns of length two and Kitaev and Zhang's conjectures
Bin Han, Jiang Zeng
A systematic study of avoidance of mesh patterns of length 2 was conducted by Hilmarsson et al. in 2015. In a recent paper Kitaev and Zhang examined the distribution of the aforeme…
Eulerian polynomials and excedance statistics
Bin Han, Jianxi Mao, Jiang Zeng
A formula of Stembridge states that the permutation peak polynomials and descent polynomials are connected via a quadratique transformation. The aim of this paper is to establish t…
-Catalan numbers: gamma expansions, pattern avoidance and the -phenomenon
Shishuo Fu, Dazhao Tang, Bin Han +1
The aim of this paper is two-fold. We first prove several new interpretations of a kind of -Catalan numbers along with their corresponding -expansions using pattern avoid…