论文标题
一些多元多项式的经典持续分数推广了Genocchi和中间的Genocchi数字
Classical continued fractions for some multivariate polynomials generalizing the Genocchi and median Genocchi numbers
论文作者
论文摘要
d-permuont的排列为$ [2n] $满足$ 2K-1 \leσ（2k-1）$和$ 2K \geσ（2k）$的所有$ k $;它们为种族隔和中间的种族隔数提供了组合模型。我们发现某些多元多项式的stieltjes-type和Thron型持续分数持续，这些多项式列出了D-Permutations，相对于非常大的（有时是无限）数量的同时统计数据，这些统计量衡量了周期状态，记录状态，交叉和巢穴。
A D-permutation is a permutation of $[2n]$ satisfying $2k-1 \le σ(2k-1)$ and $2k \ge σ(2k)$ for all $k$; they provide a combinatorial model for the Genocchi and median Genocchi numbers. We find Stieltjes-type and Thron-type continued fractions for some multivariate polynomials that enumerate D-permutations with respect to a very large (sometimes infinite) number of simultaneous statistics that measure cycle status, record status, crossings and nestings.
