多重正交多项式、矩形正交多项式、生产矩阵和支化连续分数

Transactions of the American Mathematical Society, Series B Pub Date : 2024-04-11 DOI:10.1090/btran/133

Alan Sokal

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引用次数: 0

摘要

我分析了多重正交多项式、d d 正交多项式、生成矩阵和支化续分之间意想不到的联系。这项工作可以看作是 Viennot 正交多项式组合理论的部分延伸，它适用于生成矩阵是下海森堡矩阵但不一定是三对角矩阵的情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Multiple orthogonal polynomials, 𝑑-orthogonal polynomials, production matrices, and branched continued fractions

I analyze an unexpected connection between multiple orthogonal polynomials, d d -orthogonal polynomials, production matrices and branched continued fractions. This work can be viewed as a partial extension of Viennot’s combinatorial theory of orthogonal polynomials to the case where the production matrix is lower-Hessenberg but is not necessarily tridiagonal.

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Transactions of the American Mathematical Society, Series B

CiteScore

1.70

自引率

0.00%

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