Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions
arXiv:2003.08192 · doi:10.1016/j.aam.2022.102341
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.
LaTeX2e, 122 pages, includes 9 tikz figures. Version 2 includes a new footnote 27 on page 81. To be published in Advances in Applied Mathematics