9 citations · 49 across the 59 of their papers we have counts for
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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…
Recurrences for the derivative polynomials for tangent and secant
Guo-Niu Han, Shi-Mei Ma
In this paper, we choose the derivative polynomials for tangent and secant as basis sets of polynomial space. From this viewpoint, we first give an expansion of the derivative poly…
Alternating runs of permutations and the central factorial numbers
Qi Fang, Ya-Nan Feng, Shi-Mei Ma
Let R(n,k) be the number of permutations of with k alternating runs. In this paper, we establish the relationships between R(n,k) and the central factorial numbe…
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…