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math.CO2022
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…
math.CO2022★ 1 cited
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…
math.CO2022
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…