Multiple Laguerre polynomials: Combinatorial model and Stieltjes moment representation
Classical Analysis and ODEs
2022-04-19 v2 Combinatorics
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 .
Keywords
Cite
@article{arxiv.2104.08516,
title = {Multiple Laguerre polynomials: Combinatorial model and Stieltjes moment representation},
author = {Alan D. Sokal},
journal= {arXiv preprint arXiv:2104.08516},
year = {2022}
}
Comments
LaTeX2e, 11 pages. Version 2 fixes Remark 2 on page 5. To be published in Proceedings of the AMS