85 citations · 228 across the 50 of their papers we have counts for
50 papers
A symmetric decomposition of the Boros-Moll polynomials
Guo-Niu Han, Shi-Mei Ma, Yeong-Nan Yeh
In their study of a quartic integral, Boros and Moll introduced a special case of Jacobi polynomials, which are now known as the Boros-Moll polynomials. In this paper, we study a s…
Commuting Eulerian operators
Shi-Mei Ma, Hao Qi, Jean Yeh +1
Motivated by the work of Visontai and Dey-Sivasubramanian on the gamma-positivity of some polynomials, we find the commutative property of a pair of Eulerian operators. As an appli…
Stirling permutation codes
Shi-Mei Ma, Hao Qi, Jean Yeh +1
The development of the theories of the second-order Eulerian polynomials began with the works of Buckholtz and Carlitz in their studies of an asymptotic expansion. Gessel-Stanley i…
Positivity of Narayana polynomials and Eulerian polynomials
Shi-Mei Ma, Hao Qi, Jean Yeh +1
Gamma-positivity appears frequently in finite geometries, combinatorics and number theory. Motivated by the recent work of Sagan and Tirrell (Adv. Math., 374 (2020), 107387), we st…
Eulerian polynomials, Stirling permutations and increasing trees
Shi-Mei Ma, Jun Ma, Jean Yeh +1
We study two generalizations of the gamma-expansion of Eulerian polynomials from the viewpoint of the decompositions of statistics. We first present an expansion formula of the tri…
Excedance-type polynomials and gamma-positivity
Shi-Mei Ma, Jun Ma, Jean Yeh +1
The object of this paper is to give a systematic treatment of excedance-type polynomials. We first give a sufficient condition for a sequence of polynomials to have alternatingly i…