On Orthogonal Polynomials Related to Arithmetic and Harmonic Sequences

IF 0.7 4区数学 Q2 MATHEMATICS

Complex Analysis and Operator Theory Pub Date : 2024-09-09 DOI:10.1007/s11785-024-01589-z

Adhemar Bultheel, Andreas Lasarow

引用次数: 0

Abstract

In this paper we study special systems of orthogonal polynomials on the unit circle. More precisely, with a view to the recurrence relations fulfilled by these orthogonal systems, we analyze a link of non-negative arithmetic to harmonic sequences as a main subject. Here, arithmetic sequences appear as coefficients of orthogonal polynomials and harmonic sequences as corresponding Szegő parameters.

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论与算术序列和谐波序列有关的正交多项式

本文研究单位圆上的正交多项式特殊系统。更确切地说，为了研究这些正交系统所满足的递推关系，我们把分析非负算术与谐波序列的联系作为一个主要课题。在这里，算术序列作为正交多项式的系数出现，而谐波序列作为相应的 Szegő 参数出现。

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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来源期刊

Complex Analysis and Operator Theory 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

107

审稿时长

3 months

期刊介绍： Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.