Gamma-Positivity for a Refinement of Median Genocchi Numbers

Sen Peng Eu, Tung Shan Fu, Hsin Hao Lai, Yuan Hsun Lo*

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)

摘要

We study the generating function of descent numbers for the permutations with descent pairs of prescribed parities, the distribution of which turns out to be a refinement of median Genocchi numbers. We prove the γ-positivity for the polynomial and derive the generating function for the γ-vectors, expressed in the form of continued fraction. We also come up with an artificial statistic that gives a q-analogue of the γ-positivity for the permutations with descents only allowed from an odd value to an odd value.

原文英語
文章編號P2.15
期刊Electronic Journal of Combinatorics
29
發行號2
DOIs
出版狀態已發佈 - 2022

ASJC Scopus subject areas

  • 理論電腦科學
  • 幾何和拓撲
  • 離散數學和組合
  • 計算機理論與數學
  • 應用數學

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