4 papers
An interlacing pattern between the types and coordinator polynomials
Jun-Ying Liu, Shi-Mei Ma
The study of coordinator polynomials of Weyl group lattices was initiated by Conway and Sloane. In 2013, by using a trigonometric substitution approach, Wang and Zhao proved the re…
The ratio monotonicity of Eulerian-type polynomials
Jun-Ying Liu, Guanwu Liu, Shi-Mei Ma +1
This paper is motivated by determining the location of modes of some unimodal Eulerian-type polynomials. The notion of ratio monotonicity was introduced by Chen-Xia when they inves…
Eulerian-type polynomials over Stirling permutations and box sorting algorithm
Shi-Mei Ma, Jun-Ying Liu, Jean Yeh +1
It is well known that ascents, descents and plateaux are equidistributed over the set of classical Stirling permutations. Their common enumerative polynomials are the second-order…
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…