Sokal, Alan D;
(2022)
Multiple Laguerre polynomials: Combinatorial model and Stieltjes moment representation.
Proceedings of the American Mathematical Society
, 150
(2022)
pp. 1997-2005.
10.1090/proc/15775.
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Abstract
I give a combinatorial interpretation of the multiple Laguerre polynomials of the first kind of type II, generalizing the digraph model found by Foata and Strehl for the ordinary Laguerre polynomials. I also give an explicit integral representation for these polynomials, which shows that they form a multidimensional Stieltjes moment sequence whenever .
| Type: | Article |
|---|---|
| Title: | Multiple Laguerre polynomials: Combinatorial model and Stieltjes moment representation |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1090/proc/15775 |
| Publisher version: | https://doi.org/10.1090/proc/15775 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | math.CA, math.CA, math.CO, 33C45 (Primary), 05A15, 05A19, 30E05, 42C05 (Secondary) |
| 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/10144794 |
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