Several variants of the Dumont differential system and permutation statistics

• 作 者: Shi-Mei Ma Toufik Mansour Davi
• 机 构: SchoolofMathematicsandStatistics,DepartmentofMathematics,SchoolofMathematicsandStatistics,Instituteo
• 出 处: 中国科学:数学英文版
• 发表日期: 2019年10期
• 关键词: JACOBI ELLIPTIC functions Dumont differential system PERMUTATION STATISTICS cont
• 基金项目: supported by National Natural Science Foundation of China(Grant No.11401083),Natural Science Foundation of Hebei Province(Grant No.A2017501007),the Fundamental Research Funds for the Central Universit

The Dumont differential system on the Jacobi elliptic functions was introduced by Dumont(1979)and was extensively studied by Dumont, Viennot, Flajolet and so on. In this paper, we first present a labeling scheme for the cycle structure of permutations. We