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arXiv · 2003.08192

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

Alan D. Sokal·Jiang Zeng
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Abstract

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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Alan D. Sokal, Jiang Zeng. 2022-03-08. Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions. https://doi.org/10.1016/j.aam.2022.102341

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