多重拉盖尔多项式:组合模型与Stieltjes矩表示

arXiv: Classical Analysis and ODEs Pub Date : 2021-04-17 DOI:10.1090/proc/15775

A. Sokal

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引用次数: 4

摘要

本文将Foata和Strehl对普通拉盖尔多项式的有向图模型进行了推广，给出了第一类II型多重拉盖尔多项式的组合解释。我还给出了这些多项式的显式积分表示，表明它们在x \le 0$时形成多维Stieltjes矩序列。

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Multiple Laguerre polynomials: Combinatorial model and Stieltjes moment representation

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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arXiv: Classical Analysis and ODEs

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