尼基申二量纲系统多正交多项式的相对渐近性

arXiv - MATH - Classical Analysis and ODEs Pub Date : 2024-07-23 DOI:arxiv-2407.16738

Abey López-García, Guillermo López Lagomasino

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引用次数: 0

摘要

我们研究了与实线上两个尼基申量系统相对应的两个多重正交多项式序列的相对渐近学，其中第二个尼基申量系统是由第一个尼基申量系统用非负可积分函数扰动生成量而得到的。每个尼基申系统由两个度量组成。

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Relative asymptotics of multiple orthogonal polynomials for Nikishin systems of two measures

We study the relative asymptotics of two sequences of multiple orthogonal polynomials corresponding to two Nikishin systems of measures on the real line, the second one of which is obtained from the first one perturbing the generating measures with non-negative integrable functions. Each Nikishin system consists of two measures.

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arXiv - MATH - Classical Analysis and ODEs

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