论文标题

一些用于排列,设置分区和完美匹配的多元主多项式多项式及其持续的分数

Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions

论文作者

Sokal, Alan D., Zeng, Jiang

论文摘要

我们发现某些“主多项式”的stieltjes-type和jacobi型的持续分数继续列举置换,设置分区或完美匹配,并具有大量(有时是无限)的同时统计数字。我们的结果包含许多先前获得的特殊情况身份,提供了所有这些身份。

We find Stieltjes-type and Jacobi-type continued fractions for some "master polynomials" that enumerate permutations, set partitions or perfect matchings with a large (sometimes infinite) number of simultaneous statistics. Our results contain many previously obtained identities as special cases, providing a common refinement of all of them.

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