4 papers
Yet another criterion for the total positivity of Riordan arrays
Jianxi Mao, Lili Mu, Yi Wang
Let be a Riordan array, where and . We show that if the matrix \begin{equation*} \left[\begin{array}…
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…
Further equidistribution of set-valued statistics on permutations
Jianxi Mao, Jiang Zeng
We construct bijections to show that two pairs of sextuple set-valued statistics of permutations are equidistributed on symmetric groups. This extends a recent result of Sokal and…
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…