Sokal, AD;
Zeng, J;
(2022)
Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions.
Advances in Applied Mathematics
, 138
, Article 102341. 10.1016/j.aam.2022.102341.
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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.
| Type: | Article |
|---|---|
| Title: | Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.aam.2022.102341 |
| Publisher version: | http://dx.doi.org/10.1016/j.aam.2022.102341 |
| Language: | English |
| Additional information: | This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third-party material in this article are included in the Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
| Keywords: | Permutation, Set partition, Perfect matching, Generating polynomial, Continued fraction, S-fractionJ-fraction, Dyck path, Motzkin path |
| UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10148020 |
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