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arXiv · 2104.08516

Multiple Laguerre polynomials: Combinatorial model and Stieltjes moment representation

Alan D. Sokal
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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 $x \le 0$.

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Alan D. Sokal. 2021-04-17. Multiple Laguerre polynomials: Combinatorial model and Stieltjes moment representation. https://doi.org/10.1090/proc/15775

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