论正交多项式序列及其递推系数

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2024-04-12 DOI:10.1007/s11005-024-01801-3

D. Mbouna

引用次数: 0

摘要

我们提供了一种简单的方法来识别仅由三项递推关系定义的 q-quadratic 网格上的经典正交多项式序列。我们指出，这种方法可以扩展到 q-Askey 方案中的所有正交多项式。

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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On an orthogonal polynomial sequence and its recurrence coefficients

We provide a simple method to recognize a classical orthogonal polynomial sequence on a q-quadratic lattice defined only by the three-term recurrence relation. It is pointed out that this can be extended to all orthogonal polynomials in the q-Askey scheme.

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.