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math.CO2024
Gamma positivity of variations of -Eulerian polynomials
Chao Xu, Jiang Zeng
In 1977 Carlitz and Scoville introduced the cycle -Eulerian polynomials by enumerating permutations with respect to the number of excedanc…
math.CO2024
Mahonian-Stirling statistics for partial permutations
Ming-Jian Ding, Jiang Zeng
Recently Cheng et al. (Adv. in Appl. Math. 143 (2023) 102451) generalized the inversion number to partial permutations, which are also known as Laguerre digraphs, and asked for a s…