Symmetric unimodal expansions of excedances in colored permutations

@article{Shin2016SymmetricUE,
  title={Symmetric unimodal expansions of excedances in colored permutations},
  author={Heesung Shin and Jiang Zeng},
  journal={Eur. J. Comb.},
  year={2016},
  volume={52},
  pages={174-196}
}
We consider several generalizations of the classical γ-positivity of Eulerian polynomials using generating functions and combinatorial theory of continued fractions. For the symmetric group, we prove an expansion formula for inversions and excedances as well as a similar expansion for derangements. We also prove the γ-positivity for Eulerian polynomials of type B and for Eulerian polynomials of r-colored permutations. Our results solve and generalize some recent results in the literature. 

Citations

Publications citing this paper.
Showing 1-2 of 2 extracted citations

Similar Papers

Loading similar papers…